IRLF 


^ss 

™£ir 

rAr~ 

^y$ 


OOK 

OF 

Arithmetic. 


f    n    ru. 


REESE  LIBRARY 


UNIVERSITY  OF  CALIFORNIA. 


THE  PESTALOZZIAN  SERIES. 


-YEAR  TEH-BOOK 


OF 


PRIMARY   ARITHMETIC. 

For  Pupils  in  the  Second  Grade,  Second  Year,  of  Public 

Schools.     Based  upon  Pestalozzi's  System  of 

Teaching  Elementary  Number. 


BY  JAMES  H.  HOOSE,  A.  M.,  Ph.D.,  F.S.  Sc., 

Principal  of  the  State  Normal  and  Training  School  at  Cortland, 

N.  Y.,  Author  of  "  Studies  in  Articulation,"  "On  the 

Province  of  Methods  of  Teaching,"  etc. 


SYEACUSE,    N".    Y. : 
C.  W.   BARDEEN,   PUBLISHER, 

1890. 


Copyright,  1890,  by  JAMES  H.  HOOSE. 


DEDICATED 

To  those  teachers,  who  desire  to  say  with  Pesta- 
lozzi,  "  My  aim  was  to  carry  the  simplifying  of  all 
means  of  teaching  so  far  that  every  common  man 
can  easily  bring  hiniself  to  teach  his  children,  and 
to  make  the  school  gradually  superfluous  for  the 
first  elements." 


MISCELLANEOUS  REMARKS. 


1.  See  the  First-Year  Text-Book  for  the   ele- 
mentary principles  which  control  the  form  of  this 
system  of   number.     Miss   Mary  L.  Roberts  has 
had  the  immediate  charge  of  the  classes  that  have 
pursued  this  work,  since  the  introduction  of  the 
system,   Nov.    21,  1881.     The  system  has   been 
elaborated  under  my  supervision.     This  Second- 
Year  Text- Book  contains  the  amount  of  work  that 
has  been  actually  accomplished  during  a  series  of 
years,  by  our  second  grade  pupils  (second  year  in 
school).     The  school  year  consists  of  two  terms  of 
twenty  weeks  each.     Pupils  not  acquainted  with 
the  First- Year  Text-Book  have  entered  the  second 
grade  and  have   completed  this  book   with  the 
grade. 

2.  The  principal  portion   of  class-work  is  with 
abstract  numbers;  the  teacher  gives,  once  a  week, 
several   examples  in   concrete   numbers  (see   the 
text) ;  the  pupils  also  construct  practical  examples 
upon  the  forms  given  in  the  daily  lessons.     The 
pupils  use  objects  for  a  brief  time  only,  in  order 
to  enable  them  to  obtain  a  proper  notion  of  num- 
ber; after  that  notion  is  acquired,  objects   are 
discarded. 


VI  MISCELLANEOUS   REMARKS. 

3.  This  book  is  for   mental   work;  yet  pupils 
write  any  lesson  upon  their  slates  for  review  or  for 
special  exercises.     The  book  contains  but  little 
dictation  work. 

4.  The  processes  of   addition,    multiplication, 
and  subtraction,   are   taught  with  thoroughness. 
Examples   in  addition  and  subtraction    include 
numbers  that  contain  six  figures. 

5.  In  formal  subtraction,  no  figure  of  the  sub- 
trahend is  taken  from  a  number  that  exceeds  10  — 
e.  g.,  the  child  is  never  asked  to  take  8  from  17, 
or  9  from  18,  but  follows  the  forms  laid  down  in 
the  text  (which  see). 

6.  Division  is  not  introduced  into  the  work  of 
the  second  grade.     Addition,  multiplication,  and 
subtraction  appear. 

7.  The  pupils  are  not  taught  formal  numeration 
of    numbers ;   they    are    not    taught    the    terms 
"units,"  "tens,"  "hundreds,"  etc.;  they  simply 
read  and  write  the  numbers  at  sight. 

8.  The  new  matter  and  forms  introduced  into 
this  year's  work  are  formal  subtraction  and  addi- 
tion of  numbers  placed  in  vertical  columns. 

9.  The   Eoman  letters  are  continued   in  this 
grade;  each  letter  is  written   carefully  by  itself 
alone — e.  g.,  six  is  written  VI. 

10.  No  tables  are  introduced  to   try  to   teach 
pupils  the  processes  of  addition,  multiplication, 
and  subtraction. 


MISCELLANEOUS  REMARKS.  VU 

11.  The  teacher  gives  to  the  pupils  no  form  for 
adding  numbers  together — e.  g.,  the  children  are 
not  instructed  to  add  by  10s,  or  by  20s,  or  by  4s, 
etc. ;  the  child  invents  his  own  form  of  procedure. 

12.  The  pupils  are  not  taught  (or  allowed)  to 
use  the  terms  "  to  carry,"  or  "  borrow/'  in  addi- 
tion and  subtraction. 

13.  Teachers  will  find  ample  explanatory  notes 
distributed  throughout  the  text. 

14.  A  few  forms  in  letters  (pure  algebra)   are 
introduced.     No  explanations  of  them  are  made 
to  the  class,  when  these  examples  are  reached;  the 
pupils  give  the  answer,  then  read  the  example  and 
answer,  precisely  as  they  do  with  figures. 

15.  The  pupils  recite  daily  the  lessons  from  the 
book ;  they  become  accustomed  by  this  course  to 
handle  subject  matter  when  it  is  set  to  them  in  the 
form  of  the  printed  page.     The  value  of  the  black- 
board has  its  limitations  in  the  recitation,  when 
compared  with  the  value  of  the  text  form. 

16.  The  Pestalozzian  system  of  number  proceeds 
on  the  theory  and  practice  of  introducing  to  the 
pupil  a  minimum  variety  of  objects,  and  of  giving 
to  him  a  maximum  amount  of  practice  upon  a 
few  forms.     The  forms  are  those  which  constitute 
mathematics  ;  they  are  as  general  as  mathematics 
are  general;  learned  once,  useful  always. 

The  system  recognizes  the  difference  between 
processes  in  arithmetic,  and  the  reasoning  required 


Vlll  MISCELLANEOUS    REMARKS. 

in  so-called  practical  examples.  The  mastery  of 
a  process  (addition,  multiplication  or  subtraction) 
is  a  language,  is  an  expertness,  is  a  facility  in  pro- 
cedure ;  it  is  acquired  by  practice,  repetition ;  it 
is  habit,  which  is  power  acting  in  a  particular 
form.  Practical  examples  introduce  relations  which 
are  discovered  by  the  logical  aptitudes  of  mind. 
The  child  masters  easily  a  form  of  operation,  a 
process ;  this  mastery  gives  the  pupil  ambition : 
this  ambition  to  test  in  a  greater  degree  his  powers, 
constitutes  his  interest  in  his  work ;  his  interest 
stimulates  his  courage,  The  pupil  is  trained  in 
this  manner  in  his  moral  character.  The  very  uni- 
formities in  the  system  are  sources  of  strength  to 
the  child,  the  same  as  the  uniformities  of  action  in 
learning  the  keyboard  of  the  piano  are  the  elements 
of  mastery  in  learning  to  play  the  instrument. 
State  Normal  and  Training  School,  ) 
Cortland,  N.  Y.,  May,  1890.  ) 

J.  H.  HOOSE. 


SECOND-YEAR  TEXT-BOOK. 


LESSON  I. 


1. 

3 

X 

1 

+  5 

X 

1 

+  4 

xi- 

+-6X1: 

2. 

7 

X 

1 

+  3 

X 

1 

+  5 

X 

1 

+  4 

Xl 

3. 

6 

X 

1 

+  5 

X 

1 

+  7 

X 

1 

+  4 

X  1 

4. 

7 

x 

1 

+  8 

x 

1 

+  6 

x 

1 

+  5 

X  1 

5. 

9 

X 

1 

+  7 

X 

1 

+  4 

X 

1 

+  3 

Xl 

6. 

8 

X 

1 

+  5 

X 

1 

+  3 

X 

1 

+  6 

Xl 

7. 

7 

X 

1 

+  7 

x 

1 

+  7 

X 

1 

+  3 

Xl 

8. 

8 

X 

1 

+  3 

X 

1 

+  5 

X 

1 

+  4 

X  1 

9. 

6 

X 

1 

+  7 

X 

1 

+  3 

X 

1 

+  5 

Xl 

10. 

9 

X 

1 

+  3 

X 

1 

+  8 

X 

1 

+  6 

Xl 

11. 

7 

X 

1 

+  7 

X 

1 

+  3 

X 

1 

+  7 

Xl 

12. 

9 

X 

1 

+  5 

X 

1 

+  6 

X 

1 

+  8 

X  1 

13. 

4: 

x 

1 

+  7 

x 

1 

+  3 

x 

1 

+  9 

x  i 

14. 

8 

X 

1 

+  7 

X 

1 

+  3X 

1 

+  2 

X  1 

15. 

5 

X 

1 

+  5 

X 

1 

+  8 

X 

1 

+  4 

Xl 

16. 

7 

X 

1 

+  5 

X 

1 

+  6 

X 

1 

+  3 

X  1 

17. 

3 

X 

1 

+  7 

X 

1 

+  5 

X 

1 

+  4 

Xl 

18. 

8 

X 

1 

+  5 

X 

1 

+  5 

X 

1 

+  5 

X  1 

19. 

9 

X 

1 

+  9 

X 

1 

+  3 

X 

1 

+  3 

Xl 

(9) 

10  SECOND-YEAR    ARITHMETIC. 

20.  8X1  +  7X1  +  5X1+4X1  = 

21.  3X2+3X2+2X2=8X2=16X1. 


22. 

5 

X 

2  + 

3 

X 

2 

+  2 

X 

2 

= 

23. 

2 

X 

2  + 

3 

X 

2 

+  4 

X 

2 

— 

24. 

2 

X 

2  + 

3 

X 

2 

+  2 

X 

2 

—  • 

25. 

1 

X 

2  + 

1 

X 

2 

+  1 

X 

2 

— 

26. 

2 

X 

2  + 

1 

X 

2 

+  3 

X 

2 

— 

27. 

1 

X 

2  + 

2 

X 

2 

+  1 

X 

2 

— 

28. 

1 

X 

2  + 

3 

X 

2 

+  1 

X 

2 

•  —  : 

29. 

1 

X 

3  + 

1 

X 

3 

+  1 

X 

3 

:  —  ; 

30. 

2 

X 

3  + 

1 

X 

3 

+  2 

X 

3 

— 

31. 

3 

X 

3  + 

2 

X 

3 

+  3 

X 

3 

•  — 

32. 

3 

X 

3  + 

1 

X 

3 

+  3 

X 

3 

— 

33. 

2 

X 

3  + 

5 

X 

3 

+  2 

X 

3 

—  • 

34. 

1 

X 

3  + 

2 

X 

3 

+  1 

X 

3 

— 

35. 

2 

X 

3  + 

6 

X 

3 

+  2 

X 

3 

—  - 

36. 

1 

X 

3  + 

1 

X 

3 

+  4 

X 

3 

— 

37. 

2 

X 

3  + 

3 

X 

3 

+  3 

X 

3 

= 

38. 

3 

X 

3  + 

5 

X 

3 

+  1 

X 

3 

— 

39. 

i: 

1-- 

45 

XI 

40. 

IV  = 

46 

XT 

41. 

VI  = 

47 

XT 

42. 

111  = 

48 

XX 

43. 

IX  = 

49 

XI 

44. 

XI  = 

50 

X3 

LESSON  II. 
1.  8X1+7X1+3X1+4X1=22X1. 


SECOND-YEAB   TEXT-BOOK.  11 


2. 

5 

X 

1 

+  7 

X  1 

+  6 

X 

IH 

L3 

X 

1  = 

3. 

9 

x 

1 

+  4 

X  1 

+  8 

x 

1  - 

f-2 

x 

1  — 

4. 

7 

X 

1 

+  6 

X  1 

+  5 

X 

IH 

h4 

X 

-J    

5. 

6 

X 

1 

+  3 

X  1 

+  8 

X 

l-\ 

-7 

X 

1  — 

6. 

2 

X 

1 

+  9 

XI 

+  5 

X 

IH 

-8 

x 

1  = 

7. 

7 

X 

1 

+  4 

XI 

+  3 

X 

1- 

h6 

X 

1  — 

8. 

9 

X 

1 

+  2 

X  1 

+  8 

X 

1- 

1-7 

X 

1  — 

9. 

7 

X 

1 

+  9 

X  1 

+  6 

X 

1- 

M 

X 

1  = 

10. 

9 

X 

1 

+  4 

xi 

+  9 

X 

1- 

h4 

X 

-4      _ 

11. 

7 

X 

1 

+  5 

xi 

+  5 

X 

1- 

h-7 

X 

1  = 

12. 

9 

X 

1 

+  6 

XI 

+  7 

X 

1- 

h-6 

X 

1  = 

13. 

4 

X 

1 

+  8 

X  1 

+  4 

+ 

1  - 

f-9 

X 

-J    

14. 

7 

X 

1 

+  6 

X  1 

+  9 

X 

1- 

f-3 

X 

1  = 

15. 

9 

X 

1 

+  9 

X  1 

+  3 

X 

1- 

h5 

X 

•1   

16. 

8 

X 

1 

+  8 

X  1 

+  3 

X 

1- 

h6 

X 

1  = 

17. 

9 

X 

1 

+  9 

xi 

+  9 

X 

1- 

h2 

X 

1  = 

18. 

3 

X 

1 

+  9 

xi 

+  5 

X 

1- 

[-9 

X 

1  = 

19. 

4 

X 

1 

+  8 

xi 

+  9 

X 

1- 

t-3 

X 

1  = 

20. 

5 

X 

1 

+  5 

X  1 

+  8 

X 

1- 

1-8 

X 

1"= 

21.  2  X  2+2  X  2+2  X  2=6  X  2=12x1. 

22.  3X2  +  2X2  +  3X2  = 

23.  2X2  +  2X2  +  1X2  = 

24.  4X2  +  3X2  +  2X2  = 

25.  3X2  +  3X2  +  4X2  = 

26.  2x2+lx2-(-lx2  = 

27.  4x2  +  2x2  +  1X2  = 

28.  2X2  +  3X2   3X2  = 


12  SECOND-YEAR     ARITHMETIC. 


29.  5X2  + 

2X2- 

•f-  1  x  2  = 

30.  3  X  2  + 

4X2- 

4-2  X  2  = 

31.  1X2  + 

2X2- 

+  3X2  = 

32.  2X2  + 

3X2- 

-4-4X  2  = 

33.  6X2  + 

1X2- 

+  1  X  2  = 

34.  7X2  + 

1X2 

+  2X2  = 

35.  2X2  + 

5X2- 

4-4x2  = 

36.  3X2  + 

1X2 

+  1  X  2  = 

37.  2X2  + 

4X2 

+  3  X2  = 

38.  1X2  + 

3X2 

+  1  X  2  = 

39.  1X2  + 

2X2 

+  1  X  2  = 

40.  3X2  + 

1X2 

+  2X  2  = 

41.  2X3  + 

3X3 

+  3  X  3  = 

42/3  X  3  + 

2X3 

+  5  X3  = 

43.  1  X  3  + 

1  X3 

+  1  X  3  = 

44.  2X3  + 

2X3 

+  3  X  3  = 

45.  3X3  + 

3X3 

+  1  X  3  = 

46.  2X3  + 

3X3 

+  3  X  3  = 

47.  1X3  + 

1X3 

+  3  X  3  = 

48.  2  X  3  + 

3X3 

+  1  X3  = 

49.  3X3  + 

IX  3 

+  1  X  3  = 

50.  1X3  + 

2X3 

+  1  X3  = 

10  X  3  = 

7X3 

9X3  = 

5X3 

8X3  = 

4X3 

6X3  = 

2X3 

2X3  = 

3X3 

SECOND-YEAR    TEXT-BOOK.  13 

LESSON  III. 

1.  3X1+6X1+4X1+6X1=19X1. 

2.  7X1  +  3X1  +  5X1  +  4X1  = 


3. 

9 

X 

1 

+  6 

Xl 

+  7 

X 

1 

+  3 

X 

1  __ 

4. 

8 

X 

1 

+  5 

XI 

+  9 

X 

1 

+  4 

X 

1  = 

5. 

7 

X 

1 

+  7 

X  1 

+  7 

X 

1+7 

X 

1  = 

6. 

6 

X 

1 

+  9 

Xl 

+  4 

X 

1 

+  5 

X 

-j  

7. 

8 

X 

1 

+  4 

Xl 

+  ? 

X 

1 

+  2 

X 

1  — 

8. 

9 

X 

1 

+  9 

Xl 

+  3 

X 

1 

+  6 

X 

"1  

9. 

7 

X 

1 

+  5 

Xl 

+  4 

X 

1 

+  6 

X 

1  — 

10. 

8 

X 

1 

+  7 

Xl 

+  9 

X 

1 

+  4 

X 

1  = 

11. 

9 

X 

1 

+  8 

Xl 

+  3 

X 

1 

+  2 

X 

1  = 

12. 

7 

X 

1 

+  9 

Xl 

+  6 

X 

1 

+  4 

X 

1  = 

13. 

5 

X 

1 

+  8 

Xl 

+  3 

X 

1 

+  4 

X 

-J  

14. 

9 

X 

1 

+  7 

Xl 

+  2 

X 

1 

+  6 

X 

1  = 

15. 

8 

X 

1 

+  5 

Xl 

+  4 

X 

1 

+  8 

X 

1  = 

16. 

7 

X 

1 

+  9 

Xl 

+  5 

X 

1 

+  9 

X 

1  = 

17. 

9 

X 

1 

+  6 

Xl 

+  ? 

X 

1 

+  3 

X 

•j  

18. 

8 

X 

1 

+  8 

Xl 

+  3 

X 

1 

+  8 

X 

1  = 

19. 

2 

X 

1 

+  9 

Xl 

+  5 

X 

1 

+  4 

X 

1  = 

20. 

7 

X 

1 

+  6 

Xl 

+  9 

X 

1 

+  3 

X 

1  = 

21.  3X2+2X2+3X2=8X2=16X1. 

22.  4  X  2  +  3  X  2  +  2  X  2=  - 

23.  2X2  +  3X2  +  1X2  = 

24.  3X2  +  1X2  +  1X2  = 

25.  1X2  +  1X2  +  1X2  = 

26.  2X2  +  1X2  +  1X2  = 


14  SECOND-YEAR    ARITHMETIC. 

27.  3X2  +  3X2+4X2:= 

28.  2X2  +  3X2  +  3X2  = 

29.  3X2  +  4X2+2X2  = 

30.  2X2  +  3X2  +  1X2  = 

31.  4X2  +  4X2  +  2X2  = 

32.  1  X2  +  1  X2+2X2= 

33.  5X2  +  5X2  +  1X2  = 

34.  2X2  +  2X2+2X2  = 


35. 

3 

X 

2 

+  3 

X 

2  + 

1 

X 

2 

36. 

5 

X 

3 

+  2 

X 

3  + 

1 

X 

3 

37. 

3 

X 

3 

+  3 

X 

3  + 

3 

X 

3 

38. 

4 

X 

3 

+  3 

X 

3  + 

2 

X 

3 

39. 

1 

X 

3 

+  2 

X 

3  + 

3 

X 

3 

40. 

2 

X 

3 

+  1 

X 

3  + 

2 

X 

3 

41. 

2 

X 

3 

+  2 

X 

3  + 

3 

X 

3 

42. 

3 

X 

3 

+  2 

X 

3  + 

2 

X 

3 

43. 

3 

X 

3 

+  5 

X 

3  + 

2 

X 

3 

44. 

7 

X 

3 

+  1 

X 

3  + 

1 

X 

3 

45. 

5 

X 

3 

+  1 

X 

3  + 

3 

X 

3 

46. 

3 

X 

3 

+  1 

X 

3  + 

5 

X 

3 

47. 

6 

X 

3 

+  2 

X 

3  + 

3 

X 

3 

48. 

3 

X 

3 

+  5 

X 

3  + 

2 

X 

3 

49.. 

2 

X 

3 

+  2 

X 

3  + 

4 

X 

3 

50. 

3 

X 

3 

+  2 

X 

3  + 

2 

X 

3 

9X 

3 

:=: 

9 

X2  = 

2 

X 

3  = 

8X 

2 

= 

5 

X 

3  = 

4 

X 

2  = 

6X 

3 

•  — 

7 

X 

2~. 

4X3  = 

SECOND-YEAR   TEXT-BOOK.  15 

5X2=         8X3=         2X2= 
7x  3=        6X2=        3x  3  = 

LESSON  IY. 

1.  James  has  8  cts.,  George  has  9  cts.,  and 
Kate  has  10  cts.;  how  many  cents  have  they  all  3 
Ans.  They  have  27  cents. 

2.  There  are  2  pints  in  1  quart ;  how  many 
pints  in  7  quarts  ?     Ans.  There  are  7x2  pints, 
which  are  14  pints. 

3.  How  many  pints  in  9  quarts  ? 

5.  A  man  paid  $18  for  a  coat  and  $6  for  a  hat ; 
how  much  did  he  pay  for  both  ? 

6.  There  are  3  feet  in  1  yard ;  how  many  feet 
in  7  yards  ? 

7.  How  many  feet  in  4  yards  ? 

8.  "       "   '      "    "  9      " 

9.  What  will  6  pencils  cost  at  3  cts.  each  ? 

10.  "         "  12     "         "      "  2    "       " 

11.  9X1+6X1+4X1+5X1=24X1 

12.  8X1  +  8X1  +  8X1  +  8X1  = 

13.  7X1  +  6X1  +  7X1  +  5X1  = 

14.  8X1  +  4X1+7X1  +  6X1  = 

15.  9X1  +  9X1  +  8X1  +  7X1  = 

16.  6X1  +  6X1  +  5X1  +  4X1  = 

17.  7X1+8X1  +  6X1  +  5X1  = 


16  SECOND-YEAR    ARITHMETIC. 

18.  10X1  +  6X1  +  6X1  +  5X1  = 

19.  8X1  +  7X1  +  6X1+4X1  = 

20.  7x1  +  6x1  +  7x1  +  8x1  = 

9X4=  3X3= 

7!X4=  8X3  = 

5X4=  5X3= 

8X4=  4X3= 

11X4=  7X3  = 

12X4=  12X3  = 

2X4=  6X3= 

6X4=  9X3= 

10  X  4  =  10  X  3  = 

7X4=  11X3  = 

4X4  = 

LESSON  V. 

1.  8X1+6X1+3X1+1X1=18X1 

2.  7X1+9X1+5X1+9X1= 

3.  3X1+6X1+9X1+5X1= 

4.  4X1+5X1+3X1+6X1= 

5.  5X1+4X1+4X1+5X1= 

6.  6X1+7X1+5X1+8X1= 

7.  4X1+9X1+7X1+1X1= 

8.  3X1+10X1+8X1+7X1= 

9.  5X1+9X1+4X1+7X1= 

10.  9X1+7X1+6X1+7X1= 

11.  5X1+8X1+4X1+7X1= 


SECOND-YEAR   TEXT-BOOK.  17 

12.  9X1+9X1+7X1+5X1= 

13.  6X1+^X1+8X1+3X1= 

14.  7X1+5X1+4X1+9X1= 

15.  8X1+8X1+5X1+7X1= 

16.  3X2+3X2+2X2=8X2=16X1 

17.  2X2+3X2+5X2= 

18.  4X2+1X2+2X2= 

19.  2X2+3X2+2X2= 

20.  1X2+2X2+1X2= 

21.  1X2+1X2+3X2= 

22.  1X2+1X2+1X2= 

23.  3X3+2X3+1X3  = 

24.  3X3+3X3+3X3= 

25.  2X3+3X3+1X3= 

26.  1X3+2X3+4X3= 

27.  3X3+2X3+3X3= 

28.  1X3+3X3+6X3= 

29.  3X4+2X4+3X4= 

30.  2X4+3X4+4X4= 

31.  1X4+1X4+2X4= 

32.  2X4+1X4+3X4= 

33.  1X4+1X4+5X4= 

34.  2X4+4X4+4X4= 

35.  1X4+1X4+3X4= 

36.  2X4+3X4+5X4= 

37.  1X4+2X4+4:X4= 

38.  3X4+3X4+1X4= 


18  SECOND-  YEAR    ARITHMETIC. 


39. 

40.  2X4+1X4+1X4= 

41.  IX=  46.  XIV= 

42.  XXI=  47.  XXIX= 

43.  XIX=  48.  XVII= 

44.  XXXVIII=       49.  XXIII= 

45.  XVI=  50.  L= 
10X4=          4X4=          7X3= 

9X4=  3X4=          6X3= 

8X4=          2X4=  5X3= 

7X4=         10X3=          4X3= 
6x4=  9X3=          3X3= 

5X4=  8X3=  2X3= 

LESSON  VI. 

1.  3X5+2X5+3X5=8X5=40X1 

2.  2X5+2X5+2X5= 

3.  1X5+3X5+4X5= 

4.  2X5+1X5+4X5= 

5.  1X5+1X5+3X5= 

6.  1X5+1X5+2X5= 

7.  1X5+1X5+1X5= 

8.  3x5+2x5+5X5= 

9.  5X5+1X5+4X5= 

10.  2X5+1X5+4X5= 

11.  3X4+3X4+2X4= 

12.  2X4+3X4+5X4= 


SECOND- YEAR   TEXT-BOOK.  19 

13.  3X4+1X4+1X4= 

14.  2X4+2X4+3X4= 

15.  1X4+1X4+1X4= 

16.  3X4+3X4+4X4= 

17.  2X4+1X4+2X4= 

18.  4  X  4+4x4+1x4= 

19.  3X4+2X4+1X4=   . 

20.  2X4+4X4+2X4= 

21.  3X3+2X3+4X3= 

22.  2X3+1X3+1X3= 

23.  3X3+5X3+2X3= 

24.  1X3+1X3+1X3= 

25.  5X3+1X3+1X3= 

26.  2X3+4X3+2X3= 

27.  1X3+1X3+3X3= 

28.  1X3+3X3+2X3= 

29.  3X2+2X2+4X2= 

30.  2X2+3X2+2X2= 

31.  4X2+2X2+4X2= 

32.  4X2+2X2+2X2= 

33.  2X2+1X2+3X2= 

34.  1X2+2X2+1X2= 

35.  2X2+1X2+2X2= 

36.  3X2+1X2+3X2= 

37.  6X1+7X1+5X1+7X1+3X1=28X1 

38.  7X1+7X1+5X1+4X1+5X1=: 

39.  3X1+9X1+6X1+3X1+6X1= 


20  SECOND-YEAR     ARITHMETIC. 

40.  7xl+5xl+7xl+5xl+7xl= 

41.  6X1+6X1+6X1+7X1+5X1=: 

42.  7X1+7X1+5X1+4X1+7X1=: 

43.  9X1+5X1+3X1+8X1+4X1= 

44.  8X1+4X1+8X1+4X1+3X1=: 

45.  9X1+6X1+3X1+5X1+4X1= 

46.  7  X1+7-X  1+5X1+4X1+3X1= 

47.  8X1+8X1+8X1+8X1+4X1=: 

48.  7X1+9X1+7X1+6X1+9X1= 

49.  5X1+4X1+3X1+7X1+6X1= 

50.  6X1+6X1+6X1+6X1+6X1= 

LESSON  VII. 

1.  2X5+2X5+2X5=6X5=30X1- 

2.  3X5+3X5+3X5= 

3.  4X5+4X5+2X5= 

4.  3X5+3X5+2X5= 

5.  2X5+2X5+1X5=: 

6.  3X5+3X5+1X5= 

7.  2X5+2X5+1X5= 

8.  1X5+1X5+1X5= 

9.  1X5+1X5+2X5= 
.   10.  3X6+2X5+2X6= 

11.  4X6+5X6+1X6= 

12.  1X6+3X6+1X6=   • 

13.  2X6+6X6+1X6= 

14.  6X6+1X6+1X6= 

15.  1X6+2X6+3X6= 


SECOND-TEAR  TEXT-BOOK.  21 

16.  1X6+1X6+1X6= 

17.  2X6+1X6+1X6=1 

18.  3X6+5X6+1X6= 

19.  1X6+3X6+4X6=: 

20.  1X6+5X6+4X6= 

21.  2X6+1X6+4X6=: 

22.  3X4+2X4+3X4=: 

23.  2X4+3X4+1X4=: 

24.  1X4+4X4+4X4=, 

25.  2X4+3X4+2X4= 

26.  1X4+1X4+2X4= 

27.  2X4+3X4+1X4=: 
23.  3X4+3X4+3X4= 

29.  3X3+2X3+4X3= 

30.  1X3+2X3+1X3= 

31.  5X3+1X3+2X3= 

32.  2X3+4X3+1X3= 

33.  1X3+4X3+5X3= 

34.  2X3+1X3+2X3= 

35.  2X3+2X3+2X3= 

36.  1X3+1X3+1X3= 

37.  LIU  =  44.  LXXIY  = 

38.  XLIY  =  45.  LXXXYI  = 

39.  XXXI  =  46.  LXXYIII  = 

40.  LX  =  47.  C  = 

41.  LXXI  =  48.  XC  = 

42.  LXIX  =  49.  CIX  = 

43.  LXXY  =  50.  CY  = 


SECOND-YEAR     ARITHMETIC. 
LESSON    YIII. 

1.  3X6+1X6+1X6=5X6=30X1. 

2.  1X6+2X6+3X6= 

3.  1X6+1X6+1X6= 

4.  2X6+4X6+3X6= 

5.  3X6+2X6+2X6= 

6.  1x6+1x6+2x6= 

7.  3X6+4X6+1X6= 

8.  4X6+4X6+1X6= 

9.  2X5+3X5+1X5= 

10.  3X5+4X5+2X5= 

11.  2X5+3X5+3X5= 

12.  3X5+2X5+1X5= 

13.  2X5+1X5+1X5= 

14.  1X5+1X5+1X5= 

15.  3X4+2X4+2X4= 

16.  7X4+1X4+1X4= 

17.  1X4+4X4+1X4= 

18.  2X4+2X4+4X4= 

19.  3X3+3X3+3X3= 
'20.  1X3+1X3+3X3= 

21.  1X3+3X3+3X3= 

22.  3X3+2X3+5X3= 

23.  1X3+1X3+1X3= 

24.  2X3+2X3+1X3= 

25.  1X2+5X2+4X2= 

26.  2X2+5X2+1X2= 


SECOND-YEAR   TEXT-BOOK.  23 

27.  3X2+1X2+2X2= 
23.  2X2+2X2+3X2= 

29.  3xl+5Xl+6Xl+4Xl+7xl=25X  1- 

30.  5X1+6X1+7X1+8X1+3X1= 

31.  9X1+4X1+3X1+5X1+6X1= 

32.  7X1+7X1+5X1+4X1+5X1= 

33.  6X1+6X1+6X1+6X1+6X1= 

34.  5X1+5X1+7X1+3X1+4X1= 

35.  8X1+7X1+6X1+5X1+4X1= 

36.  9X1+8X1+7X1+6X1+5X1= 

37.  10X1+3X1+5X1+4X1+6X1= 

38.  8X1+4X1+7X1+3X1+8X1= 

39.  6X1+6X1+7X1+7X1+8X1= 

40.  3X1+8X1+8X1+5X1+5X1= 

41.  33=XXXIIL  46.  65= 

42.  26=  47.  73= 

43.  37=  48.  44= 

44.  54=  49.  11= 

45.  18=  50.  31= 

LESSON  IX. 

1.  How  many  feet  in  5  yards  1    Ans.  There 
are  5X3  ft.  which  are  15  ft. 

2.  How  many  feet  in  9  yards  ? 

3.  How  many  pints  in  7  quarts  ? 

4.  Charlie  has  9  cts.,  George  has  11  cts.,  and 
Fred  has  8  cts.;  how  many  cents  have  the  three 
boys  together  ? 


24  SECOND-YEAR   ARITHMETIC. 

5.  There  are  4  quarts  in  one  gallon;  how 
many  quarts  in  4  gallons  ? 

6.  How  many  quarts  in  8  gallons  ? 

7.  How  many  quarts  in  9  gallons  ? 

8.  There  are  4  weeks  in  one  month;   how 
many  weeks  in  7  months  ? 

9.  How  many  weeks  in  4  months  ? 

10.  I  paid  12  cts.  for  a  slate,  11  cts.  for  a 
book,  8  cts.  for  an  eraser,  and  7  cts.  for  a  pencil  ; 
how  much  did  I  pay  for  all  ? 

11.  9X1+8X1+7X1+6X1+5X1—35X1. 

12.  8X1+8X1+7X1+7X1+6X1= 

13.  11X1+11X1+7X1+6X1+10X1= 

14.  5X1+5X1+8X1+7X1+5X1= 

15.  6X1+7X1+3X1+9X1+7X1= 

16.  9X1+6X1+6X1+6X1+9X1= 

17.  7X1+8X1+9X1+10X1+3X1= 

18.  8X1+6X1+4X1+10X1+6X1= 

19.  7X1+7X1+9X1+8X1+7X1= 

20.  6X1+7X1+8X1+8X1+8X1= 

21.  7X1+8X1+10X1+5X1+7X1= 

22.  6X1+10X1+8X1+7X1+5X1= 

23.  9X1+9X1+9X1+9X1+9X1= 

24.  8X1+7X1+8X1+7X1+6X1= 

25.  11X1+10X1+9X1+3X1+4X1= 

LESSON  X. 
1.  9X1+7X1+6X1+5X1=27X1. 


SECOND-YEAR   TEXT-BOOK.  25 

2.  8X1+8X1+8X1+8X1= 

3.  9X1+9X1+9X1+9X1  = 

4.  .7X1+7X1+7X1+7X1= 

5.  6X1+6X1+6X1+6X1:= 

6.  8X1+7X1+8X1+7X1= 

7.  10X1+10X1+5X1+8X1= 

8.  9X1+8X1+7X1+6X1= 

9.  7X1+9X1+5X1+7X1= 

10.  6X1+10X1+11X1+7X1= 

11.  6X1+5X1+7X1+^X1= 

12.  11X1+8X1+7X1+9X1= 

13.  11X1+11X1+11X1+11X1= 

14.  12X1+6X1+7X1+9X1= 

15.  12X1+8X1+7X1+9X1= 

16.  13X1+6X1+7X1+7X1= 

17.  9X1+7X1+9X1+7X1= 

18.  14X1+8X1+7X1+6X1  = 

19.  13X1+10X1+5X1+7X1= 

20.  6X1+11X1+7X1+9X1= 

21.  3X6+2X6+3X6=8X6—48X1. 

22.  2X6+5X6+2X6= 

23.  1x6+1x6+2x6= 

24.  2X6+3X6+1X6= 

25.  3X6+5X6+2X6= 

26.  2X6+1X6+2X6= 

27.  2X6+4X6+1X6= 

28.  3X6+5X6+1X6= 


26  SECOND-YEAR    ARITHMETIC. 

29.  1X6+1X6+1X6= 

30.  2X5+1X5+2X5= 

31.  3X5+2X5+2X5= 

32.  4X5+1X5+3X5= 

33.  3X5+2X5+4X5= 

34.  2X5+2X5+2X5= 

35.  1x5+1x5+1x5= 
36:  3X5+5X5+2X5= 

37.  2X4+3X4+3X4= 

38.  3X4+3X4+3X4= 

39.  2X4+2X4+3X4= 

40.  1X4+3X4+2X4= 

41.  3X3+2X3+1X3= 

42.  2X 3+3x3+4x3= 

43.  3X3+1X3+3X3= 

44.  5X2+1X2+4X2= 

45.  2X2+2X2+3X2= 

46.  3X2+3X2+2X2= 

47.  2X2+2X2+1X2= 

48.  1X2+1X2+1X2= 

49.  3X2+1X2+1X2= 

50.  2X2+4X2+3X2= 

LESSON  XL 

1.  6X1+6X1+6X1+5X1+3X1=26X1. 

2.  7X1+6X1+9X1+8X1+4X1= 

3.  9X1+7X1+6X1+5X1+3X1= 


SECOND-YEAR    TEXT-BOOK.  27 

4.  7X1+10X1+6X1+8X1+5X1= 

5.  11X1+5X1+7X1+4X1+6X1= 

6.  12X1+12X1+5X1+9X1+7X1=: 

7.  8X1+11X1+5X1+7X1+6X1=: 

8.  11X1+11X1+11X1+7X1+9X1= 

9.  12X1+5X1+6X1+3X1+2X1=: 

10.  8X1+7X1+5X1+4X1+4X1=: 

11.  9X1+9X1+9X1+9X1+4X1=: 

12.  7X1+6X1+5X1+4X1+3X1=: 

13.  7X1+3X1+9X1+9X1+3X1=: 

14.  5X1+6X1+8X1+7X1+6X1=: 

15.  9X1+5X1+7X1+9X1+3X1=: 

16.  11X1+7X1+7X1+7X1+5X1= 

17.  10X1+7X1+5X1+5X1+2X1= 

18.  12X1+7X1+9X1+6X1+7X1= 

19.  llxl+9xl+7xl+7xl+5xl= 

20.  9X1+8X1+7X1+6X1+5X1= 

21.  3x7+2x7+3x7=8x7=56x1. 

22.  2X7+3X7+2X7=: 
S3.  4)^7+1x7+4x7= 

24.  2X7+2X7+1X7= 

25.  1X7+4X7+1X7= 

26.  1x7+1x7+1x7= 

27.  2X7+1X7+1X7= 

28.  1x7+3x7+2x7= 

29.  3x7+3x7+4x7= 

30.  2X6+3X6+3X6= 


SECOND-YEAR    ARITHMETIC. 

31.  5X6+1X6+1X6= 

32.  3X6+4X6+2X6= 

33.  2X6+1X6+1X6= 

34.  3X6+2X6+1X6= 

35.  2X6+1X6+2X6= 

36.  1X6+1X6+1X6= 

37.  8X6+1X6+1X6= 

38.  3X5+4X5+1X5= 

39.  1X5+1X5+5X5= 

40.  2X5+2X5+5X5= 

41.  3X5+1X5+2X5= 

42.  1X5+1X5+1X5= 

43.  2X5+1X5+1X5= 

44.  3X4+3X4+2X4= 

45.  2X4+4X4+2X4= 

46.  3X4+4X4+2X4= 

47.  3X3+1X3+5X3= 

48.  2X3+1X3+4X3= 

49.  1X3+2X3+4X3= 

50.  2X3+2X3+2X3= 
10x7=    4X7=    7X*6= 

9x7=  3x7=  6x6= 

8X7=  2X7=  5X6= 

7x7=  10X6=  4X6= 

6X7=  9X6=  3X6= 

5x7=  8X6=  2X6= 


SECOND-YEAR   TEXT-BOOK.  29 

LESSON  XII. 

1.  10X1+10X1+6X1+6X1=32X1. 

2.  12X1+5X1+7X1+4X1= 

3.  9X1+8X14-6X1+7X1= 

4.  11X1+12X1+5X1+3X1= 

5.  9X1+7X1+6X1+5X1=* 

6.  8X1+8X1+8X1+3X1= 

7.  9X1+6X1+5X1+8X1= 

8.  8X1+9X1+5X1+4X1= 

9.  11X1+6X1+6X1+5X1= 

10.  10X1+5X1+10X1+5X1= 

11.  10X1-5X1=5X1.  20.  7X1-5X1= 

12.  9X1—7X1=  21.  9x1—5x1= 

13.  10X1-8X1=  22.  10X1-4X1=  ' 

14.  10X1  —  6X1=  23.  10X1—9X1= 

15.  8X1-3X1=  24.  9X1-6X1= 

16.  9X1—3X1=  25!  10X1-7X1= 

17.  10X1—3X1=  26.  8X1—4X1= 

18.  8X1—5X1=  27.  10X1-1X1= 

19.  9X1—4X1=  28.  9x1—1X1= 

29.  5x7+1x7+2x7=8x7=56x1. 

30.  2x7+3x7+4x7= 

31.  3X7+1X7+1X7= 

32.  1x7+3x7+2x7= 

33.  3x7+4x7+1x7= 

34.  1x7+1x7+1x7= 

35.  2x7+4x7+4x7= 


30  SECOND-YEAR    ARITHMETIC. 

36.  2X7+1X7+1X7= 

37.  3X6+4X6+2X6:= 

38.  3X6+1X6+3X6= 

39.  1X6+1X6+1X6=  . 

40.  2X6+5X6+1X6= 

41.  3X6+1X6+1X6= 

42.  2x6+1x6+1^6= 

43.  6x6+1x6+1x6= 

44.  3X5+4X5+2X5= 

45.  2X5+3X5+2X5= 

46.  1X5+2X5+5X5= 

47.  3X4+2X4+3X4= 

48.  2X4+2X4+6X4= 

49.  1x4+3x4+5x4= 

50.  1X4+1X4+5X4= 

LESSON  XIII. 

1.  3X8+3X8+2X8=8X8=64X1. 

2.  2X8+4X8+4X8= 

3.  3X8+3X8+1X8= 

4.  1X8+1X8+2X8= 

5.  4X8+4X8+1X8= 

6.  1X8+1X8+4X8= 

7.  2X8+2X8+1X8= 

8.  1X8+1X8+1X8= 

9.  2X8+4X8+2X8= 
10.  3x7+3x7+3x7= 


SECOND-YEAR   TEXT-BOOK.  31 

11.  2X7+1X7+3X7= 

12.  3x7+3x7+4x7= 

13.  2x7+1x7+4x7= 

14.  1x7+1x7+2x7= 

15.  3X7+2X7+1X7= 

16.  1X1+3X7+1X7= 

17.  5x6+2x6+1x6= 

18.  3X6+3X6+3X6= 

19.  2X6+1X6+3X6= 

20.  5X6+4X6+1X6= 

21.  3X6+2X6+2X6= 

22.  2X5+1X5+1X5= 

23.  3X5+4X5+2X5= 

24.  4X5+1X5+3X5= 

25.  3X5+4X5+3X5= 

26.  2X5+2X5+3X5= 

27.  1X5+1X5+1X5= 

28.  4X4+1X4+1X4= 

29.  3X4+3X4+2X4= 

30.  2x4+4x4+3x4= 

31.  3X4+1X4+2X4= 

32.  3X3+3X3+1X3= 

33.  1X3+1X3+6X3= 

34.  2X3+4X3+3X3= 

35.  2X2+2X2+4X2= 

36.  2X2+5X2+2X2= 

37.  3X2+3X2+1X2= 


32  SECOND-YEAR    ARITHMETIC. 

38.  CCXIY=  45.  CLX1II= 

39.  CCXYI=  46.  CLXXXYI= 

40.  CIX=  47.  CCLXXYIII=: 

41.  CXXV=  48.  CCIII= 

42.  CCLV=  49.  CCCXC= 

43.  CXXXY1I=:  50_CCXCIX:= 

44.  CCXLVIII= 

LESSON  XIY. 

1.  George  earned  10  cts.  and  spent  4  cts.  for 
a  pencil ;  how  many  cents  had  he  left  ? — Ans. 
He  had  6  cents  left. 

2.  How  many  dollars  will  8  sheep  cost  at  $7 
a  head  ? — Ans.   8  sheep  will  cost  8  X  $7  which 
are  $56. 

3.  How  many  dollars  will  six  sheep  cost  at  $7 
a  head  ? 

4.  A  drover  bought  13  cows  and  sold  9  of 
them  ;  how  many  cows  had  he  left  ? 

5.  There  are  7  days  in  one  week  ;  how  many 
days  in  7  weeks  ? 

6.  How  many  quarts  in  7  gallons  ? 

7.  How  many  quarts  in  9  gallons? 

8.  Mary  is  6  years  old,  and  her  father  is  7 
times  as  old  as  she ;  how  old  is  her  father  ? 

9.  How  many  feet  in  twelve  yards  ? 

10.  How  much  will  4  lemons  cost  at  4  cts. 
each  ? 


SECOND-YEAR   TEXT-BOOK.  33 

11.  CCXVII=  21.  143=CXLIII. 

12.  CXCIY=  22.  226= 

13.  CCLXXXVI=  23.  118= 

14.  LXIII=  24.  139= 

15.  LXXVIII=  25.  211= 

16.  CCXIX=  26.  301= 
IT.  CIII=  27.  110= 

18.  CXLII=  28.  1T5= 

19.  CYIII=  29.  382= 

20.  CLXYII=  30.  193= 

LESSON  XV. 

1.  18X1+10X1=28X1. 

2.  25X1+9X1= 

3.  16X1+11X1=- 

4.  17X1+12X1= 

5.  15X1+15X1= 

6.  16X1+16X1= 

7.  17X1+17X1= 

8.  14X1+14X1= 

9.  13X1+13X1= 

10.  12X1+13X1= 

11.  18X1+18X1= 

12.  20X1+16X1= 

13.  19X1+19X1= 

14.  23X1+12X1= 

15.  16X1+15X1  = 


34:  SECOND-YEAR    ARITHMETIC. 

16.  21X1+10X1= 

17.  19X1+12X1= 

18.  22x1+15X1= 

19.  10X1+18X1= 

20.  25X1+20X1= 

21.  6x7+3x7+2x7=11x7=77x1 

22.  5X7+3X7+2X7= 

23.  1x7+5x7+1x7= 

24.  2X7+1X7+3X7= 

25.  3x7+3x7+2x7= 

26.  1x7+2x7+4x7= 

27.  3x7+2X7+2x7= 

28.  1x7+1x7+2x7= 

29.  3X6+1X6+1X6= 

30.  2X6+2X6+5X6= 

31.  1X6+1X6+2X6= 

32.  3X6+4X6+1X6= 

33.  1X6+1X6+4X6= 

34.  3X6+2X6+5X6= 

35.  2X6+3X6+2X6= 

36.  1X6+1X6+1X6= 

37.  3X5+2X5+4X5= 

38.  2X5+2X5+3X5= 

39.  1x5-1-1x5+2x5= 

40.  4X5+3X5+1X5= 

41.  1X5+1X5+1X5= 

42.  3X5+1X5+1X5= 


SECOND-YEAR    TEXT-BOOK.  35 

43.  2X5+3X5+1X5= 

44.  3X4+3X4+3X4= 

45.  2X4+3X4+2X4= 

46.  3X4+2X4+3X4= 

47.  2X3+3X3+3X3= 

48.  3X3+4X3+3X3= 

49.  2X3+4X3+3X3= 

50.  1X2+2X2+3X2= 

LESSON  XVI. 

1.  2x8+3x8+1x8=6x8=48x1. 

2.  3X8+2X8+3X8= 

3.  2X8+2X8+5X8= 

4.  1x8+1x8+1x8= 

5.  3X8+2X8+2X8= 

6.  2X8+2X8+2X8= 

7.  1X8+1X8+3X8= 

8.  1X8+2X8+1X8= 

9.  2x7+2x7+3x7= 

10.  1x7+3x7+2x7=" 

11.  3X7+3X7+2X7= 

12.  2X7+1X7+1X7= 

13.  3x7+4x7+3x7= 

14.  2X7+3X7+4X7= 

15.  2X6+2X6+4X6= 

16.  3X6+1X6+5X6= 

17.  3X6+2X6+2X6= 


36  SECOND-YEAR    ARITHMETIC. 

18.  1X6+3X6+2X6= 

19.  !X6+lx6+3x6=r 

20.  5X5+2X5+2X5= 

21.  2X5+2X5+3X5= 

22.  1x5+3x5+4x5= 

23.  2X5+1X5+3X5= 

24.  1X5+1X5+5X5= 

25.  3X4+3X4+3X4= 
26.- 1X4+1X4+2X4= 
27.  3X4+3X4+2X4= 
23.  2X4+3X4+2X4= 

29.  6  Xl+Tx  1+5x1+3x1+7x1= 

30.  9X1+9X1+9X1+7X1+5X1= 

31.  11X1+11X1+11X1+9X1+6X1= 

32.  12X1+9X1+3X1+7X1+7X1= 

33.  10X1+8X1+7X1+9X1+8X1= 

34.  9X1+7X1+10X1+9X1+11X1= 

35.  8X1+7X1+6X1+10X1+9X1= 

36.  7X1+9X1+5X1+8X1+11X1= 

37.  12X1+6X1+7X1+9X1+5X1= 
.38.  11X1+7X1+8X1+5X1+9X1= 

39.  10  X 1+10  X 1+10  X 1+10  X 1+10X1: 

40.  8X1+7X1+6X1+9X1+7X1= 

41.  9X1+8X1+7X1+6X1+5X1= 

42.  6X1+5X1+8X1+4X1+5X1= 

43.  9X1+8X1+7X1+6X1+4X1= 

44.  101=01.      45.  253= 


SECOND-YEAR   TEXT-BOOK.  3T 

46.  328=  49.  190= 

47.  147=  50.  119= 

48.  239= 

LESSON  XVII. 


(1) 

(2) 

(3) 

(*) 

(5) 

6 

3 

9 

7 

8 

5 

7 

3 

5 

3 

3 

4 

8 

5 

9 

8 

6 

6 

5 

4 

4 

5 

4 

5 

6 

26 

(6) 

CO 

(3) 

(9) 

(10) 

7 

9 

3 

2 

7 

7     . 

3 

4 

4 

5 

4 

4 

5 

6 

7 

9 

8 

6 

8 

4 

1 

2 

7 

9 

6 

(11) 

(12) 

(13) 

(14) 

(15) 

6 

2 

7 

7 

9 

7 

9 

6 

6 

3 

3 

5 

4 

7 

8 

8 

4 

7 

5 

2 

2 

8 

3 

2 

5 

SECOND-YEAR     ARITHMETIC. 


(16) 

(vn 

(18) 

(19) 

(20) 

7 

9 

8 

9 

7 

6 

8 

3 

5 

•5 

7 

7 

7 

8 

4 

4 

6 

9 

2 

7 

3 

4 

6 

6 

3 

21.  4x7+3x3—37x1  (or  37). 

22.  5x6+2x5= 

23.  7x7+4x2= 

24.  9x7+3x5= 

25.  4X8+7X2= 

26.  9x6+3x4= 

27.  5X5+2X3= 

28.  8X8+4X4= 

29.  9X5+7X2= 

30.  6X8+3X3=.         » 

31.  9X7+2X8= 
52.  6X6+5X3= 

33.  7X10+3X4= 

34.  5X9+4X5= 

35.  8x7+3x6= 

36.  7X9+4X2= 
.37.  6X7+3X5= 

38.  1x8+3x8+2x8= 

39.  3X8+2X8+4X8= 

40.  2x8+1x8+1x8= 

41.  3X8+4X8+1X8= 


SECOND-YEAR   TEXT-BOOK.  39 

42.  2X8+2X8+3X8= 

43.  1X8+1X8+3X8= 

44.  3x7+3x7+3x7= 

45.  2x7+1x7+1x7= 

46.  1X7+2X7+5X7= 

47.  2x7+2x7+3x7= 

48.  2x7+1x7+2x7= 

49.  3x7+1x7+2x7= 

50.  1x7+1x7+1x7= 

LESSON  XVIII. 

1.  How  many  beets  in  7  bunches,  if  there  are 
6  beets  in  each  bunch  ?     Ans. — There  are  7x6 
beets,  which  are  42  beets. 

2.  At  4  cts.  each,  what  will  9  oranges  cost  ? 

3.  There  are  4  pecks  in  a  bushel ;  how  many 
pecks  in  6  bushels  ? 

4.  Hpw  many  pecks  in  12  bushels  ? 

5.  How  many  pints  in  7  quarts  ? 

6.  How  many  feet  in  6  yards  ? 

7.  How  many  quarts  in  9  gallons  ? 

8.  James  paid  15  cts.  for  a  slate,  and  47  cts. 
for  a  book ;  how  much  did  he  pay  for  both? 

9.  How  many   shoes   does  it  take  to  shoe  4 
horses  ? 

10.  A  beetle  has  6  legs ;  how  many  legs  have 
5  beetles  ? 


4:0  SECOND-YEAR    ARITHMETIC. 

11.  7X7+3X3=58X1     19.  10x6+3x8= 

12.  6X8+4X5=  20.  6x7+5x4= 

13.  7X5+3X6=  21.  8x6+5x3= 

14.  6X9+5X3=  22.  7x11+^X3= 

15.  8X5+3X7=  23.  8x3+7x5= 

16.  5X9+4X6=  24.  4x8+6x2= 

17.  7X3+3X7=  25.  9x5+5x9= 

18.  9X2+8X7= 

LESSON  XIX. 
1.  IX  9+2x9+3x9=6x9=54x1  (or  54). 

2.  2X9+3X9+4X9= 

3.  1X9+1X9+1X9= 

4.  3X9+4X9+1X9= 

5.  1X9+3X9+1X9= 

6.  3X9+1X9+3X9=  . 

7.  1X9+1X9+4X9= 

8.  2X9+1X9+1X9= 

9.  1X8+3X8+1X8= 

10.  1X8+2X8+4X8= 

11.  2X8+2X8+4X8= 

12.  1X8+1X8+4X8= 
'  13.  2X8+1X8+7X8= 

14.  1X8+1X8+7X8= 

15.  1X8+1X8+1X8= 

16.  2X8+1X8+1X8= 

17.  1x7+1x7+1x7= 
IS.  2x7+2x7+2x7= 


SECOND-YEAR   TEXT-BOOK.  41 

19.  3X7+3X7+3X7= 

20.  4x7+4x7+2x7=   • 

21.  1x7+3x7+1x7=: 

22.  2X7+1X7+1X7= 

23.  1x7+1x7+5x7= 

24.  2x7+3x7+3x7= 

25.  1X6+1X6+1X6= 

26.  2X6+1X6+1X6= 

27.  3X6+4X6+2X6= 

28.  2X6+2X6+3X6= 

29.  1X6+1X6+6X6= 

30.  3X5+2X5+2X5= 

31.  2X5+4X5+2X5= 

32.  1X5+1X5+6X5= 

33.  2X5+1X5+1X5= 

34.  3X4+3X4+1X4= 

35.  2X4+1X4+5X4= 

36.  2X4+3X4+5X4= 

37.  1X4+5X4+3X4= 

38.  2X3+3X3+2X3= 

39.  1X3+1X3+7X3= 

40.  1X3+1X3+6X3= 

41.  1X3+3X3+2X3=  ; 

42.  3X9+4X5=47X1.   47.  7x7+3x3= 

43.  7X6+3X3±=       48.  8x5+5x3= 
.44.  9X7+4X2=       49.  8x4+3x3= 

45.  9X9+7X2=       50.  9*  7+2x5= 

46.  6X6+4X5= 


42  SECOND-YEAR    ARITHMETIC. 

LESSON  XX. 

1.  3  *  9+3x9+3x9=9x9=81  Xl. 

2.  2X9+2X9+1X9= 

3.  1X9+3X9+2X9= 

4.  3X9+2X9+3X9= 

5.  3X9+3X9+4X9= 

6.  1X9+1X9+1X9= 

7.  2X9+4X9+1X9= 

8.  1x9+1x9+4x9= 

9.  3X8+2X8+2X8= 

10.  3X8+4X8+3X8= 

11.  1X8+1X8+1X8= 

12.  2X8+3X8+4X8= 

13.  1X8+2X8+1X8= 

14.  1X8+3X8+4X8= 

15.  2X8+1X8+2X8= 

16.  1X8+1X8+4X8= 

17.  2x7+3x7+3x7= 
18.  3X7+5X7+2X7= 

19.  1X8+1X8+7X8= 

20.  1X7+1X7+1X7= 

21.  3x7+1x7+5x7= 

22.  2x7+2x7+4x7= 

23.  1x7+3x7+3x7= 

24.  2X7+1X7+2X7= 

25.  1X6+1X6+1X6= 
2!6.  2X6+3X6+3X6= 


SECOND-YEAR    TEXT-BOOK.  43 

27.  3X6+2X6+4X6=: 

28.  1X6+2X6+2X6= 

20.  13X1+12X1+5X1+4X1+7X1= 

30.  10X1+8X1+10X1+6X1+5X1= 

31.  4X1+9X1+8X1+7X1+6X1= 

32.  9X1+10X1+9X1+6X1+10X1= 

33.  8X1+11X1+9X1+7X1+6X1= 

34.  9X1+5X1+4X1+7X1+3X1= 

35.  7X1+6X1+8X1+10X1+7X1= 

36.  9X1+10X1+7X1+6X1+5X1= 

37.  10X1+10X1+7X1+8X1+6X1= 

38.  8X1+7X1+6X1+9X1+10X1= 

39.  12X1+12X1+7X1+5X1+8X1= 

40.  0X1+7X1+6X1+4X1+7X1= 

'   41.  11X1+8X1+7X1+10X1+6X1= 

42.  0X1+8X1+11X1+7X1+6X1= 

43.  6X7+3X3=51X1. 

44.  9X5+4X2= 

45.  7X8+4X4= 

46.  6x7+5x4=: 

47.  8x10+3x4=: 

48.  7X5+3X2= 

49.  9X6+6X2= 

50.  7X7+4X5= 

LESSON  XXI. 

1.  4  X 10+5  X 10+3  X  10=12  XK=120X1  (or 
120). 


44  SECOND-YEAK     ARITHMETIC. 

2.  3X10+2X10+5X10=: 

3.  6X10+1X10+4X10:= 

4.  2X10+3X10+3X10= 

5.  3X10+1X10+2X10= 

6.  5X10+2X10+2X10= 

7.  2X10+2X10+3X10= 

8.  3X9+1X9+1X9= 

9.  2X9+1X9+4X9= 

10.  3X9+2X9+4X9= 

11.  2X9+3X9+6X9= 

12.  3X9+6X9+3X9= 

13.  2X9+3X9+5X9= 

14.  3X9+3X9+2X9= 

15.  4X9+1X9+1X9= 

16.  2X9+1X9+1X9= 

17.  4X8+4X8+4X8= 

18.  3X8+3X8+3X8= 

19.  2X8+2X8+2X8= 

20.  3X8+3X8+2X8= 

21.  2X8+2X8+1X8= 

22.  CCCI11=  29.  CXLIX= 

23.  CCXXXYI=  30.  CCCXYIL 

24.  CLXXXIY=  31.  104=GIV. 

25.  CC_CYII=  32.  202= 

26.  CCCI=  33.  222= 

27.  CCXXI=  34.  305= 

28.  CXCYIII=  35.  313= 


SECOND-  YEAR   TEXT-BOOK. 

36.    156= 

39. 

260= 

37.  276= 

40. 

333= 

38.  318= 

5X8= 

12X8= 

11X9= 

3X9: 

11X8= 

7X9= 

8X8: 

4X8= 

12X9= 

7X8: 

9X8= 

6X9= 

3X8: 

5X8= 

5X9= 

6X8: 

9X9=* 

10X9= 

8X9= 

4X9= 

LESSON  XXII. 

1.  How  many   days  in  12  weeks?    Ans. — 
There  are  12 X7  days,  which  are  84  days. 

2.  How  many  weeks  in  56  days  ? 

3.  "        "          "       "  35     "     ? 

4.  t:  <i  u         «    g_j.      u      ^ 

5.  "         "      pecks   "  5  bushels? 

Q  It  (C  it  ((     9  U  ? 

Y.      "         "      quarts  "  18  pints?      Ans.  — 
There  are  9  quarts  in  18  pints. 

8.  How  many  pints  in  9  quarts  ? 

9.  "         "     dimes  "  90  cents? 

10.  ."         «     cents   "   10  dimes  ? 

11.  9X5+4X4=61X1. 

12.  8X3+3X8= 

13.  7X6+5X5= 


4:6  SECOND-YEAR   ARITHMETIC. 

14.  4x11+6x7= 

15.  3X9+9X4=: 

16.  7X8+6X6= 

17.  9x7+3x4= 

18.  7X6+3X8= 

19.  9X9+3X3= 

20.  5X6+7X5= 

21.  3X7+8X5= 

22.  4X4+7X7= 

23.  3X11+5X6= 

24.  6X6+3X5= 

25.  5x5+6x4= 

26.  2X11+5X7= 

27.  3X5+6X8= 

28.  4X2+9X6= 

29.  3X12+2X11= 

30.  5X4+8X7= 

31.  6X3+9X7= 

32.  2X9+5X8= 

33.  3X6+8X8= 

34.  4X2+9X11= 

35.  3X7+6X9= 

LESSON  XXIII. 

1.  12X1+8X1+6X1+7X1+8X1+7X1= 
48X1  (or  48). 

2.  11X1+11X1+7X1+5X1+6X1+6X1= 


SECOND-YEAR   TEXT-BOOK.  47 

3.  .9  X 1+9  X 1+9  X 1+8  X 1+8  X 1+8  X 1= 

4.  7xl+7xl+7xl+7xl+7xl+7xl= 

5.  8X1+8X1+6X1+6X1+8X1+8X1= 

6.  11X1+6X1+7X1+8X1+9X1+7X1= 

7.  9X1+9X1+11X1+6X1+7X1+5X1= 

8.  6X1+12X1+11X1+8X1+7X1+6X1= 

9.  9X1+11X1+11X1+9X1+11X1+9X1= 

10.  8X1+7X1+11X1+7X1+9X1+8X1= 

11.  12X1+11X1+10X14-9X1+8X1  +  7X1  = 

12.  11X1+8X1+9X1+6X1+9X1+8X1= 

13.  9X1+7X1+8X1+9X1+7X1+10X1= 

14.  5X1+11X1+12X1+8X1+7X1+6X1= 

15.  12X1+9X1+8X1+7X1+11X1+9X1= 

16.  2X11+2X11+1X11=5X11=55X1. 

17.  1X11+1X11+1X11=  * 

18.  3X11+3X11+2X11= 

19.  1X11+2X11+1X11= 

20.  5X11+4X11+2X11= 

21.  1X11+1X11+10X11= 

22.  1X11+2X11+3X11= 

23.  2X11+3X11+6X11= 

24.  2X11+2X11+5X11= 

25.  2X11+1X11+4X11  = 
2G.  3X9+3X9+2X9= 

27.  1X9+5X9+6X9= 

28.  2X9+2X9+3X9= 

29.  3X9+1X9+3X9= 


48  SECOND-YEAR    ARITHMETIC. 

30.  1X9+9X9+1X9= 

31.  2X9+5X9+2X9= 

32.  1x9+3x9+1x9= 

33.  2X9+1X9+1X9= 

34.  3X9+1X9+2X9= 

35.  4X9+2X9+5X9= 

LESSON  XXIY. 

1.  2X12+1X12+2X12=5X12=60X1. 

2.  1X12+1X12+1X12= 

3.  3X12+1X12+2X12= 

4.  2X12+1X12+1X12= 

5.  2X12+3X12+2X12= 

6.  3X124-3X12+4X12= 

7.  2X12+1X12+5X12= 

8.  2X12+5X12+5X12= 

9.  2X12+2X12+5X12= 

10.  1X12+3X12+7X12= 

11.  4X10+5X10+2X10= 

12.  3X10+3X10+6X10= 

13.  2X11+5X11+2X11= 

14.  3X11+4X11+3X11= 

15.  5X11+5X11+2X11= 

16.  3X11+3X11+2X11= 

17.  4X11+5X11+2X11— 
;   18.  3X9+3X9+2X9= 

19.  5X9+1X9+2X9= 


SECOND-YEAR    TEXT-BOOK.  49 

• 

20.  3X9+3X94-6X9=. 

21.  2X9+2X9+5X9= 

22.  2X9+1X9+4X9= 

23.  1X9+1X9+4X9= 

24.  1X9+2X9+6X9= 

25.  10X1-0X1=4X1.  36.  9x1-7x1= 

26.  10X1—8X1=  37.  9X1—2X1= 

27.  10X1—4X1=  38.  9X1-4X1= 

28.  10X1-2X1=  39.  9X1-5X1= 

29.  10X1-7X1=  40.  9X3-3X1= 

30.  10X1-3X1=  41.  9X1-6X1= 

31.  10X1—9X1=  42.  8X1—6X1= 

32.  10X1-1X1=  43.  8X1-5X1  = 

33.  10X1-5X1=  44.  8X1-2X1= 

34.  9X1-8X1=  45.  8x1-6x1= 

35.  9X1-1X1= 

LESSON  XXY. 

1.  6X7+7X6=84X1  (or  84). 

2.  5X8+4X11=  10.  3X5+8X7= 

3.  7X6+6X5=  11.  2X6+9X9= 

4.  9X8+8X3=  12.  3x7+6x8= 

5.  7X6+5X11=  13.  5x4+8x7= 

6.  4X8+3X7=  14.  3x6+6x9= 

7.  2x11+7x6=  15.  5X5+8X8= 

8.  3x5+4x12=  16.  4x11+11X5= 

9.  4x44-6x7=  17.  3x10+7x7= 


50  SECOND-YEAR    ARITHMETIC. 

18.  4X5+9X6=  22.  7x9+6x2= 

19.  3X11+8X4=  23.  8x6+6x5= 

20.  7x6+6x3=  24.  7X9+5X3= 

21.  8x11+5x4= 


(25) 

(26) 

(27) 

(28) 

8 

9 

11 

9 

11 

7 

7 

9 

6 

6 

6 

5 

7 

• 

8 

9 

8 

5 

9 

5 

7 

9 

5 

11 

6 

46 

(29) 

(30) 

(31) 

(32) 

12 

9 

12 

9 

9 

8 

11 

9 

11 

9 

10 

8 

9 

12 

9 

11 

8 

11 

8 

9 

.  7 

8 

7 

6 

(33) 

(34) 

(35) 

13 

9 

13 

9 

6 

12 

5 

7 

11 

8 

8 

10 

9 

11 

9 

7 

12 

8 

SECOND-YEAR   TEXT-BOOK.  51 

LESSON  XXVI. 

1.  How  many  quarters  in  2  dollars?     Ans. — 
There  are  2x4  quarters  which  are  8  quarters. 

2.  How  many  dimes  in  2  dollars  ? 

3.  «         "     cents    "    2         "     \ 

4.  "         "  quarters  "  12         "     \ 


6. 
There 

"  dollars   "   30    dimes? 
are  3  dollars  in  30  dimes. 

7.  How  many  dollars  in  60  dimes  ? 

8. 

" 

"      cents     "  12      "     I 

9. 

it 

tt          tt        it  n    .  «     i 

10. 

it 

tt          tt       "9      "     ? 

11. 

it 

"      dimes     "  80   cents? 

12. 

" 

"         "-        "100      «  .1 

13. 

a 

tt            tt           tt  11Q       a      i 

14. 

61 

tt            tt          it  70        tt      0 

15. 

It 

"     nickels    "  25       "     ? 

16. 

" 

"      cents      "     7  nickels  t. 

17. 

tt 

tt              it            tt      g         tt         % 

18. 

it 

tt              tt            «    -t  -j          u         ^ 

19. 

tt 

u            a           u    -^2         "         ? 

20. 

tt 

«          «         «     8       "       I 

21. 

7X11+6X6=113X1. 

22. 

6X5+8X4= 

23. 

7X5+9X3= 

24. 

8X8+3X6= 

25. 

9X11+5X3= 

52  SECOND- YEAR   ARITHMETIC. 

LESSON  XXYII. 

1.  3X12+4X12+3X12=10X12=120X1 

2.  2X12+5X12+5X12= 

3.  1X12+4X12+3X12= 

4.  2X12+2X12+2X12= 

5.  1X12+2X12+1X12= 

6.  3X12+1X12+1X12= 

7.  1X12+1X12+1X12= 

8.  2X12+3X12+2X12= 

9.  3X12+3X12+3X12=  . 

10.  2X12+2X12+7X12= 

11.  1X11+1X11+1X11= 

12.  2X11+2X11+2X11= 

13.  3X11+3X11+3X11= 

14.  4X11+4X11+4X11= 

15.  2X11+1X11+2X11= 
1C.  1X11+1X11+5X11= 

17.  1X11+1X11+7X11= 

18.  1X11+1X11+9X11= 

19.  2X11+2X11+1X11= 

20.  2X11+2X11+4X11= 

21.  5X10+5X10+2X10= 

22.  3X10+2X10+1X10= 

23.  2X10+4X10+6X10= 

24.  3X10+2X10+2X10= 

25.  1X9+1X9+1X9= 

26.  2X9+2X9+2X9= 


SECOND-YEAR    TEXT-BOOK.  53 

27.  3  x9-f  3x9+3x9= 

28.  4X9+4X9+4X9= 

29.  2X9+1X9+2X9= 

30.  3X9+3X9+2X9=  . 

31.  4X9+4X9+3X9= 

32.  2x9+1x9+1x9= 

33.  3X9+3X9+1X9= 

34.  4X9+4X9+2X9= 

35.  3X8+1X8+1X8= 

36.  1X8+2X8+3X8= 

37.  2X8+3X8+4X8= 

38.  3X8+4X8+5X8=* 

39.  2X8+1X8+4X8= 

40.  1X8+3X8+7X8= 

41.  2X8+4X8+3X8= 
42/3x7+2x7+4x7= 

43.  2X7+3X7+7X7= 

44.  1X7+2X7+8X7= 

45.  2X7+3X7+3X7= 

46.  2X6+4X6+4X6= 

47.  3X6+2X6+7X6= 

48.  1X6+3X6+5X6= 

LESSON  XXYIII. 

1.  12xl+llXl+9xl+9Xl+8xl+7xl= 
56X1. 

2.  HXl+llXl+llXl+9xl+8xl+9xl  = 


•54  SECOND-YEAR    ARITHMETIC. 

3.  9X1+8X1+8X1+11X1+8X1+7X1= 

4.  12xl+Yxl+8xl+6xl+llXl+10Xl= 

5.  8X1+7X1+7X1+8X1+6X1+9X1= 

6.  11X1+11X1+12X1+8X1+8X1+7X1= 

7.  6X1+7X1+8X1+11X1+10X1+6X1= 

8.  8X1+8X1+7X1+10X1+11X1+8X1= 

9.  9X1+9X1+9X1+8X1+8X1+8X1=: 

10.  6>^1+9X1+6X1+9X1+6X1+9X1= 

11.  8X1+10X1+8X1+10X1+8X1+10X1= 

12.  7X1+6X1+9X1+8X1+7X1+8X1:= 

13.  9X1+11X1+7X1+9X1+10X1+9X1= 

14.  13X14-8X1+7X1+10X1+9X1+8X1= 

15.  8Xl+10Xl+8xl+llXl+8xl+10xl  = 

16.  12X1+6X1+9X1+7X1+8X1+8X1=- 

17.  6X1+9X1+8X1+9X1+5X1+4X1=: 

18.  8X1+8X1+6X1+6X1+7X1+5X1=: 

19.  6X^+7X1+9X1+7X1+11X1+8X1=: 

20.  5X1+12X1+6X1+12X1+8X1+6X1= 

21.  CCCXY=  31.  309= 

22.  CCLXXXVI=  32.  282= 

23.  CXYIII=  33.  111= 

24.  CCXCYII=  34.  358= 

25.  CLXIX=  35.  201= 

26.  CCCXXXII=  36.  CCXI= 

27.  276=CCLXXYI.        37.  CCCXL= 

28.  318=  38.  XCYI= 

29.  245=  39.  CXLY= 
50.  137=                            40.  CCXXI= 


SECOND-YEAR   TEXT-BOOK.  55 

LESSON  XXIX. 

1.  5X7+6X3=53X1. 

2.  8X6+5X4= 

3.  7X11+8X2= 

4.  5X6+9X3= 

5.  7X4+8X6= 

6.  8X4+7X2= 

7.  8X6+7X3= 
*  8.  9X6+6X3= 

9.  5X8+8X7= 

10.  7X3+9X2= 

11.  5X11+11X3= 

12.  8x6+4x3= 

13.  9X5+5X4=  « 

14.  3X12+12X3= 

15.  7X6+3X8= 

16.  5X11+4X4= 

17.  6X6+5X5= 

18.  4x8+8x5= 

19.  7X6+9X3= 

20.  8X7+5X4= 

21.  3X9+8X2= 

22.  7X6+6X4= 

23.  2X8+9X7= 

24.  5X3+6X8= 

25.  7X7+5X4= 


56  SECOND-YEAR    ARITHMETIC. 

SUBTRACTION. 


(26) 

(27) 

(28) 

(29) 

(30) 

836 

914 

763 

646 

928 

271 

812 

312 

314 

814 

115 

(31) 

(32) 

(33) 

(34) 

(35) 

779 

890 

945 

675 

810 

246 

370 

810 

345 

•  700 

(36) 

(37) 

(38) 

(39) 

(40) 

546 

298 

989 

967 

789 

324 

137 

787 

•  824 

362 

LESSON 

XXX. 

(1) 

(2) 

(3) 

.  (4) 

(5) 

9 

6 

9 

7 

4 

6 

7 

5 

6 

10 

9 

5 

8 

11 

8 

5 

11 

9 

5 

4 

4 

6 

11 

8 

7 

33 

(6) 

(7) 

(8) 

(9) 

(10) 

3 

9 

12 

7 

7 

5 

4 

7 

9 

6 

8 

8 

9 

5 

9 

6 

9 

6 

8 

6 

12 

5 

11 

4 

10 

S^COND-YEAK   TEXT-BOOK.  57 

(15) 

7 
6 
9 
6 
5 


(11) 

7 
6 
7 
5 
8 

(12) 

8 
9 
4 
6 
4 

(13* 

11 

7 
6 
9 
5 

(14) 

9 
4 
8 
10 
11 

(16) 

(17) 

(18) 

(19) 

(20) 

4 

8 

5 

8 

7 

8 

10 

12 

3 

5 

9 

9 

7 

7 

9 

7 

8 

6 

6 

7 

3 

9 

4 

9 

10 

21.  5X5+2X5+3X5=10X5=50X1 

22.  8X5+1X5+3X5= 

23.  5X5+2X5+1X5= 

24.  2X5+1X5+2X5= 

25.  3X5+3X5+1X5= 

26.  2X5+4X5+4X5= 

27.  3X6+2X6+1X6= 

28.  1X6+2X6+1X6= 

29.  3X6+1X6+4X6= 

30.  1x6+2x6+7x6= 

31.  2X6+2X6+8X6= 

32.  1X6+2X6+8X6= 

33.  2X6+2X6+5X6= 

34.  2X6+1X6+4X6= 


•58  SECOND-YEAR    ARITHMETIC. 

35.  2X7+3X7+4X7= 

36.  1X7+2X7+3X7:= 

37.  9X7+1X7+1X7= 

38.  2X7+1X7+5X7= 

39.  3X7+8X7+1X7=: 

40.  2X7+1X7+7X7= 

41.  1x7+1x7+5x7= 

42.  3X8+1X8+5X8= 

43.  1X8+2X8+1X8= 

44.  2X8+2X8+8X8= 

45.  1X8+3X8+3X8= 

LESSON  XXXI. 

1.  10X1+5X1+6X1+7X1+3X1+4X1= 

35X1. 

2.  9X1+8X1+7X1+6X1+5X1+4X1=: 

3.  3X1+6X1+7X1+5X1+4X1+6X1= 

4.  8X1+4X1+6X1+7X1+9X1+5X1= 

5.  4X1+7X1+9X1+6X1+8X1+7X1=: 

6.  11X1+6X1+7X1+5X1+4X1+8X1= 

7.  10X1+10X1+6X1+7X1+5X1+4X1= 

8.  9X1+8X1+10X1+6X1+7X1+3X1= 

9.  11X1+11X1+9X1+7X1+5X1+4X1= 

10.  6X1+7X1+6X1+7X1+6X1+7X1=: 

11.  10X1-5X1=5X1. 

12.  10X1-2X1= 

13.  10X1-3X1= 


SECOND-YEAR   TEXT-BOOK.  59 

14.  10X1—6X1= 

15.  10X1—4X1= 

16.  10X1-8X1= 

17.  10X1-1X1= 

18.  10X1—9X1  = 

19.  10X1-7X1= 

20.  9X1-6X1= 

21.  9X1-2X1= 

22.  9X1-8X1= 

23.  9X1-5X1= 

24.  9X1-3X1= 

25.  9X1-7X1= 

26.  9X1—4X1= 

27.  8X1—3X1= 

28.  8X1-2X1= 

29.  8X1-5X1= 

30.  8X1-7X1= 

31.  8X1-4X1= 

32.  8X1-6X1= 

33.  7X1-4X1= 

34.  7X1-3X1= 

35.  7X1-6X1= 

36.  7X1-2X1= 

37.  7X1—1X1= 

38.  7X1—5X1= 

39.  6X1-3X1= 

40.  6X1-2X1= 


60  SECOND-YEAR    ARITHMETIC. 

41.  6X1-4X1= 

42.  6X1-1X1= 

43.  6X1—5X1= 

44.  5X1-1X1= 

45.  5X1-2X1= 

46.  5X1-4X1= 

47.  5X1-3X1= 

48.  4xl-lXl= 

49.  4X1-3X1= 

50.  4X1-2X1= 

LESSON  XXXII. 

1.  How  many  lemons,  at  4  cts.  each,  can  be 
bought  for   28   cts.?     Ans. — 7  lemons   can   be 
bought ;  or  28  cts.  will  buy  7  lemons  at  4  cts. 
each. 

2.  John  had  17  cts.;  he  bought  a  present  for 
his  sister  for  8  cts.:  how  many  cents  had  he  left  ? 

3.  How  many  months  in  11  years  ? 

4.  How  many  pecks  in  9  bushels?' 

5.  How  much  will  a  bushel  of  potatoes  cost  at 
12  cts.  a  peck? 

6.  How  many  lemons,  at  3  cts.  each,  can  be 
bought  for  15  cts.? 

7.  How  many  shoes  will  it  take  to  shoe  six 
horses  ? 


SECOND-YEAR   TEXT-BOOK.  61 

8.  Lucy  had  10  roses,  Kate  had  12  roses,  and 
Mary  had  9  roses ;  how  many  roses  had  the  three 
girls  ? 

9.  7X1+8X1+6X1+5X1+7X1+4X1= 
87X1. 

10.  8X1+9X1+7X1+6X1+5X1+4X1= 

11.  3X1+7X1+6X1+8X1+7X1+8X1= 

12.  9X1+3X1+7X1+6X1+5X1+5X1= 

13.  8X1+7X1+3X1+6X1+7X1+6X1= 

14.  7X1+6X1+7X1+3X1+5X1+7X1= 

15.  8X1+5X1+8X1+5X1+8X1+5X1= 

16.  9xl+6Xl+3xl+6xl-f9Xl+3Xl= 

17.  7X1+8X1+6X1+5X1+4X1+4X1= 

18.  6X1+6X1+6X1+6X1+6X1+6X1= 

19.  7X1+5X1+4X1+10X1+6X1+5X1  = 

20.  9X1+9X1+8X1+8X1+7X1+7X1= 

21.  10X1+9X1+8X1+7X1+6X1+6X1= 

22.  7X1+5X1+8X1+6X1+3X1+7X1= 

LESSON  XXXIII. 

1.  10X1-3X1=7X1. 

2.  10x1-2x1= 

3.  10X1-9X1= 

4.  10X1-5X1= 

5.  10X1-4X1= 

6.  10X1  —  6X1= 

7.  10X1-1X1  = 


SECOND- YEAR    ARITHMETIC. 

8.  10X1—7X1= 

9.  10X1  —  8X1= 

10.  10X1—10X1= 

11.  9X1-1X1= 

12.  9X1—7X1= 

13.  9X1-2X1= 

14.  9X1—3X1= 

15.  9X1-5X1  = 

16.  9X1—4X1= 

17.  9X1  —  6X1= 

18.  9X1-8X1= 

19.  9x1  —  9x1= 

20.  8X1-1X1= 

21.  8X1—3X1= 

22.  8X1-5X1= 

23.  8X1-2X1= 

24.  8X1-4X1= 

25.  8X1  —  6X1= 

26.  8X1—7X1= 

27.  7X1—6X1= 

28.  7X1-3X1= 

29.  2X12+3X12+2X12=7X12=84X1. 

30.  3X12+1X12+1X12= 

31.  1X12+3X12+5X12= 

32.  3X12+3X12+4X12= 

33.  3X12+2X12+3X12= 

34.  3X12+3X12+6X12= 


SECOND-TEAK   TEXT-BOOK. 

35.  2X12+3X12+7X12= 

36.  1X12+2X12+1X12= 

37.  3xl2+3xl2+4xl2i 

38.  3X12+4X12+4X12: 

39.  2xil+3Xll+5xll:: 

40.  3  Xll+^X 11+5X11- 

41.  3X11+3XH+4X11: 

42.  5X11+2X11+2X11= 

43.  3X9+3X9+3X9= 

44.  2X9+3X9+2X9= 

45.  3X9+4X9+1X9= 

LESSON  XXXIY. 

1.  6X7+5X4=62X1. 

2.  7X5+4X4= 

3.  9X6+3X3= 

4.  6X5+4X2= 

5.  9X7+6X2= 

6.  5X8+1X10= 

7.  9X9+5X3= 

8.  8X8+7X2= 

9.  6X6+5X2= 

10.  5X5+4X4= 

11.  8X7+6X2= 

12.  9.X  4+3x6= 

13.  7X10+6X3= 

14.  8X7+4X5= 

15.  9X9+3X7= 


64:  SECOND-YEAR    ARITHMETIC. 

16.  91=XCI.  29.  XCIII= 

17.  175=  30.  CCXY= 

18.  264=  31.  LXXXIX= 

19.  183=  32.  LXXYIII= 

20.  372=  "33.  CCIY= 

21.  256=  34.  XCIX= 

22.  147=  35.  XCYI= 

23.  328=  36.  CCCXXI= 

24.  239=  37.  CCLXXXIIL 

25.  106=  38.  CCCXCYI= 

26.  LXXI=  39.  CCLXI= 

27.  XLY=  40.  CCCXCIX= 

28.  LXIY= 

LESSON  XXXY. 


(1) 

5 
9 
4 
3 

2 

(2) 
3 
7 
6 
1 
5 

(3) 
2 
7 
4 
5 
9 

(*) 

4 
6 
3 

7 
5 

(5) 
3 
7 
6 
9 
4 

(6) 
2 
3 
3 
5 
6 

23 

(7)  (8)  (9)  (10)  (11)  (12) 
3  '  4  2  3  4  3 
455447 
577353 
679755 
786664 


SECOND-TEAK   TEXT-BOOK.  65 

13.  3  X 12+2  X 12+3  X  12=8X12=96X1. 

14.  2X12+4X12+3X12= 

15.  3X12+1X12+1X12= 

16.  4X12+5X12+3X12= 

17.  2X12+1X12+2X12= 

18.  3X12+4X12+4X12= 

19.  1X12+1X12+1X12= 

20.  3X9+4X9+3X9= 

21.  2X9+3X9+3X9= 

22.  3X9+4X9+2X9= 

23.  2X9+3X9+1X9= 

24.  2X8+2X8+3X8= 

25.  2X8+2X8+2X8= 

26.  2X8+4X8+3X8= 

27.  2X8+3X8+2X8= 

28.  1X8+1X8+3X8= 

29.  2X^+3X7+3X7= 

30.  3X7+4X7+2X7= 

31.  2X7+1X7+1X7= 

32.  2X7+3X7+1X7= 

33.  1x7+1x7+4x7= 

34.  2x7+3x7+5x7= 

35.  1x6+1x6+1x6= 

36.  3X6+2X6+3X6= 

37.  2X6+3X6+4X6= 

38.  2X6+1X6+2X6= 

39.  1X6+3X6+2X6= 

40.  2X6+3X6+2X6= 


06  SECOND-YEAR    ARITHMETIC. 

LESSON  XXXYI. 

1.  3X12+2X12+5X12=10X12=120X1. 

2.  3X12+4X32+5X12= 
3t  3X12+1X12+1X12= 

4.  2X12+3X12+2X12= 

5.  3X12+4X12+2X12= 

6.  1X12+2X12+3X12= 

7.  2X12+4X12+2X12= 

8.  3X12+1X12+7X12= 

9.  1X12+1X12+1X12= 

10.  4X11+3X11+3X11= 

11.  3X11+2X11+1X11= 

12.  1X11+3X11+7X11= 

13.  2X11+3X11+3X11= 

14.  3X11+4X11+4X11= 

15.  2X10+3X10+4X10= 

16.  4X10+3X10+5X10= 

17.  3X10+5X10+3X10= 

18.  4X9+4X9+2X9= 

19.  3X9+1X9+1X9= 

20.  2X9+3X9+2X9= 

21.  2X9+3X9+4X9= 

22.  3X9+1X9+4X9= 

23.  2x9+1x9+4x9= 

24.  1X9+3X9+3X9= 

25.  2X8+4X8+3X8= 

26.  3X8+1X8+2X8= 


SECOND-YEAR   TEXT-BOOK.  67 

27.  1x8+4x8+3x8= 

28.  3X8+2X8+2X8= 

29.  3X8+4X8+5X8= 

30.  2X8+3X8+6X8= 

31.  1X8+1X8+1X8= 

32.  7X7+3X7+2X7= 

33.  2x7+1x7+4x7= 

34.  3X7+1X7+5X7= 

35.  1x7+1x7+1x7= 

36.  1x7+2x7+1x7= 

37.  2X7+3X7+2X7= 

38.  1X7+4X7+3X7= 

39.  3X6+2X6+2X6= 

40.  2X6+2X6+3X6= 

41.  3X6+1X6+8X6= 

42.  2X6+3X6+4X6= 

43.  1X6+1X6+1X6= 

44.  3X6+3X6+2X6= 

45.  1X6+1X6+9X6= 

LESSON  XXXYII. 

1.  How  many  cents  in  4  dimes?      Ans. — 
There  are  4x10  cents,  which  are  40  cents. 

2.  How  many  dimes  in  50  cents  ?    Ans. — 
There  are  5  dimes  in  50  cents. 

3.  How  many  dimes  in  one  dollar  ? 

4.  How  many  inches  in  12  feet  ? 


68  SECOND-YEAR    ARITHMETIC. 

5.  How  much  will  8  pounds  of  sugar  cost  at 
7  cts.  a  pound  ? 

6.  How  many  pounds  of  sugar  at  7  cts.  a 
pound  can  be  bought  for  49  cents  ? 

7.  John  paid  40  cents  for  some  firecrackers 
and  24  cents  for  some  torpedoes ;    how  many 
cents  did  he  pay  for  all  ? 

8.  7X6+5X5=67X1.  20.  6x6+3x4= 

9. -9X3+3X5=  21.  8x9+5x3= 

10.  8X7+6X2=  22.  11x6+3x5= 

11.  7X11+5X4=  23.  8X7+5X4= 

12.  6X8+3X7=  24.  7x7+6x3= 

13.  5X9+4X6=  25.  9x5+4x6= 

14.  6X8+8X3=  26.  8x6+6x5= 

15.  7x7+5x5=  27'.  9x4+8X6= 

16.  8X4+4X3=  28.  7x5+11x6= 

17.  7X6+3X8=  29.  3x8+9x4= 

18.  9X6+4X3=  30.  9x7+3x3= 

19.  8X7+5X4= 

LESSON  XXXVIII.' 

1.  3X7+5X4=41X1  (or  41). 

2.  7X5+6X2=  9.  7x11+4x2= 

3.  9X8+7X2=  10.  8X7+5X3= 

4.  8X7+3X3=  11.  7X6+3X6= 

5.  6X9+4X4=  12.  9x7+5x2= 

6.  7X7+3X4=  13.  6x8+4x4= 

7.  8X5+9X2=  14.  5X7+2X3= 

8.  10X6+3X5=  15.  6X6+5X5= 


SECOND- YEAR   TEXT-BOOK.  69 

16.  16X1+7X1+3X1+8X1+7X1+5X1= 
46X1. 

17.  10X1+9X1+7X1+6X1+5X1+4X1= 

18.  11X1+11X1+7X1+5X1+9X1+3X1= 

19.  9X1+8X1+7X1+6X1+5X1+4X1= 

20.  12X1+12X1+12X1+7X1+6X1+5X1= 

21.  8X1+7X1+6X1+9X1+8X1+6X1= 

22.  7X1+5X1+5X1+8X1+7X1+8X1= 

23.  9X1+6X1+10X1+5X1+10X1+6X1= 

24.  11X1+11X1+7X1+6X1+8X1+5X1= 

25.  6X1+10X1+8X1+7X1+9X1+7X1= 

26.  8X1+7X1+6X1+7X1+5X1+8X1= 

27.  6X1+8X1+7X1+9X1+4X1+3X1= 

28.  11X1+7X1+9X1+10X1+6X1+5X1= 

29.  3X7+5X7+4X7= 

30.  2X7+1X7+6X7= 

31.  2X7+3X7+4X7= 

32.  5X7+1X7+1X7= 

33.  1X7+1X7+2X7= 

34.  2X7+2X7+1X7= 

35.  3X7+1X7+6X7= 

LESSON  XXXIX. 

1.  10X1-7X1=3X1.  5.  10x1-10X1= 

2.  10X1-2X1=  6.  10X1-3X1= 

3.  10X1-9X1=  7.  10X1-5X1= 

4.  10X1-6X1=  8.  10X1-8X1= 


'70  SECOND-YEAK    ARITHMETIC, 

9.  10X1-4X1=:  19.  9X1-5X1= 

10.  10X1—2X1—  20.  9X1—8X1= 

11.  10X1-1X1=  21.  8X1-8X1= 

12.  9X1—2X1=  22.  8X1-2X1= 

13.  9X1—3X1=  23.  8X1—3X1= 

14.  9X1-6X1=  24.  8X1-6X1= 

15.  9X1-4X1=  25.  8X1-5X1= 

16.  9X1-9X1=  26.  8X1-TX1= 
IT.  9X1-7X1=  27.  8X1-4X1= 
18.  9X1  —  1X1=  28.  8X1—1X1= 

29.  3X2+3X2+3X2=9X2=18X1. 

30.  2X2+5X2+4X2= 

31.  3X2+3X2+5X2= 

32.  3X3+4X3+3X3= 

33.  2X3+3X3+6X3= 

34.  1X3+6X3+2X3= 

35.  2X3+4X3+2X3= 

36.  3X4+3X4+6X4= 

37.  2X4+4X4+1X4= 
-38.  1X4+1X4+5X4= 

39.  2X4+3X4+4X4= 

40.  1X4+1X4+4X4= 

41.  3X5+3X5+2X5= 

42.  2X5+3X5+7X5= 

43.  3X5+4X5+2X5= 

44.  2X5+2X5+3X5= 
-45.  3X6+1X6+3X6= 


SECOND-YEAR   TEXT-BOOK.  71 

46.  2X6+2X6+2X6= 

47.  3x6+lX6+lx6i= 

48.  2X6+4X6+5X6= 

49.  3X6+1X6+5X6= 

50.  1X6+2X6+4X6= 

LESSON  XL. 

1.  CIII=103.  11.  143=CXLIII. 

2.  XCY=  12.  372= 

3.  LXXXI=  13.  211= 

4.  XLIY=  14.  101= 

5.  CCYIII=  15.  364= 

6.  LXXY1I=  16.  110= 

7.  LXIX=  17.  396= 

8.  CCLYI=  18.  228= 

9.  CCXCIII=  19.  259= 
10.  CXIX=  20.  47= 

21.  6X1+8X1+7X1+5X1+4X1+8X1+ 
7X1=45X1. 

22.  9X1+7X1+8X1+7X1+6X1+9X1+ 

8X1= 

23.  7X1+7X1+6X1+3X1+5X1+4X1+ 
7X1= 

24.  10X1+6X1+7X1+5X1+8X1+3X1+ 
9X1= 

25.  6X1+7X1+8X1+9X1+10X1+7X1+ 
6X1= 


72  SECOND-YEAR     ARITHMETIC. 

26.  11X1+11X1+7X1+6X1+5X1+9X1 


27.  11X1+12X1+5X1+4X1+8X1+7X1 
+6X1= 

28.  10X1+10X1+7X1+5X1+6X1+3X1 

+5X1= 

29.  7X1+8X1+6X1+7X1+9X1+5X1+ 
4X1= 

30.  5X1+7X1+6X1+3X1+8X1= 

31.  10X1+6X1+3X1+8X1+5X1= 

32.  7xl+7xl+7xl+7xl+7xl= 

33.  9X1+5X1+8X1+6X1+5X1= 

34.  12X1+12X1+12X1+6X1+7X1= 

35.  3X1+7X1+6X1+4X1+7X1= 

36.  9X1+3X1+12X1+8X1+6X1= 

37.  5X1+4X1+7X1+6X1+7X1= 

38.  10X1+10X1+8X1+7X1+6X1= 

39.  11X1+11X1+5X1+7X1+9X1= 

40.  12X1+12X1+7X1+6X1+8X1= 

41.  7X1+8X1+6X1+5X1+9X1= 

42.  11X1+11X1+11X1+11X1+11X1= 

43.  13X1+6X1+7X1+5X1+9X1= 

44.  10X1+5X1+6X1+4X1+8X1= 

45.  9X1+7X1+6X1+8X1+5X1= 

9x7=     7X5=     6x6= 

6X8=     9X8=     4X9= 

12X5=     7X11=    6X3= 


SECOND-YEAR   TEXT-BOOH.  73 

12X9=  6X11=  9X6=: 

5X8=  3X7=  4X12= 

11X11=:         12X10=         10X11= 

LESSON  XLI. 

1.  7X7+6X3=67X1.  24,  7x1-3x1= 

2.  9X6+4X4=      25.  7xl-2Xl= 

3.  6X7+8X3=      26.  7x1-4x1= 

4.  9X5+4X3=     27.  7x1-7x1= 

5.  10X7+3X5=     28.  6x1-3x1= 

6.  8X8+5X5=      29.  6x1-6x1= 

7.  11x7+6x3=     30.  6x1—2x1= 

8.  9X4+4X9=      31.  6x1—1X1= 

9.  5X12+3X5=     32.  6x1-5x1= 

10.  8X6+6X3=  33.  6x1—4x1= 

11.  9X9+4X3=  34.  5xl-lXl= 

12.  10X6+7X5=  35.  5x1-5x1= 

13.  8X7+4X3=  36.  5x1—2x1= 

14.  9X4+3X3=  37.  5x1-4x1= 

15.  7X7+4X5=  38.  5x1-3x1= 

16.  6X6+8X3=  39.  4x1-4x1= 

17.  9X9+5X5=  40.  4xl-lXl= 

18.  11X6+3X10=  41.  4X1-3X1= 

19.  9X3+7X4=  42.  4x1-2x1= 

20.  10X7+5X2=  43.  2xl-2Xl= 

21.  7X1-6X1=1X1   44.  2X1-1X1= 

22.  7X1-5X1=  45.  3x1-2x1= 

23.  7X1-1X1= 


74  SECOND-YEAR   ARITHMETIC. 

LESSON  XLII. 

1.  James  has  16  cts.,  George  has  9  cts.,  Fred 
has  7  cts.,  and  James  has  11  cts.;  how  many  cents 
have  all  the  boys  together  ?     Ans. — They  have 
43  cts. 

2.  How  many  days  in  9  weeks  ? 

3.  There  are  8  wheels  on  a  car ;  how   many 
wheels  on  9  cars  ? 

4.  How  many  weeks  in  42  days  ? 

5.  How   many  oranges,  at  6  cts.  each,  can  be 
bought  for  48  cts.? 

6.  Lucy  is   7  years  old  and  her  brother  is  8 
years  older ;  how  old  is  her  brother  ? 

7.  How  many  months  in  7  years  ? 

8.  In  60  months,  how  many  years  ? 

9.  9X1+7X1+8X1+6X1+10X1+9X1= 

49X1. 

10.  8X1+11X1+7X1+7X1+6X1+10X1= 

11.  9X1+6X1+8X1+10X1+11X1+6X1= 

12.  VX1+9X1+8X1+7X1+7X1+7X1= 

13.  8X1+9X1+6X1+6X1+6X1+8X1= 

14.  7X1+9X1+5X1+8X1+5X1+7X1= 

15.  9X1+8X1+7X1+6X1+5X1+8X1= 

16.  7X1+8X1+6X1+10X1+9X1+7X1= 

17.  10X1+9X1+7X1+6X1+6X1+9X1= 

18.  7X1+7X1+9X1+9X1+6X1+6X1= 

19.  10X1+10X1+6X1+7X1+9X1+5X1= 

20.  9X1+8X1+7X1+9X1+8X1+7X1= 


SECOND-YEAR   TEXT-BOOK.  75 

LESSON  XLIIL 

1.  3X12+2X12+1X12=6X12=72X1. 

2.  4X12+3X12+2X12= 

3.  1X12+3X12+8X12= 

4.  3X12+2X12+2X12= 

5.  2X12+3X12+5X12= 

6.  4X12+1X12+3X12= 

7.  3X12+1X12+1X12= 

8.  2X12+3X12+6X12= 

9.  1X12+1X12+1X12= 

10.  1X12+1X12+2X12= 

11.  2X11+3X11+3X11= 
.12.  3X11+2X11+1X11= 
1 13.  3X11+4X11+4X11= 
:14.  2X11+4X11+4X11= 

15.  3X11+2X11+4X11= 

16.  1X11+1X11+10X11= 

17.  3X10+3X10+1X10= 

18.  2X10+3X10+6X10= 

19.  3X10+1X10+6X10= 

20.  2X10+2X10+8X10= 

21.  3X9+3X9+3X9= 

22.  1X9+1X9+3X9= 

23.  3X9+2X9+2X9= 

24.  2X9+3X9+1X9= 

25.  3X9+4X9+5X9= 

26.  1X9+1X9+1X9= 


76  SECOND-YEAR    ARITHMETIC. 

27.  2X9+3X9+3X9= 
'28.  2X9+4X9+5X9= 

29.  1X9+2X9+1X9= 

30.  1X8+3X8+8X8= 

31.  2X8+3X8+2X8= 

32.  1X8+1X8+7X8= 

33.  2X8+2X8+4X8= 

34.  1X8+1X8+1X8= 

35.  2X8+3X8+1X8= 

36.  1X8+3X8+1X8= 

37.  2X8+3X8+4X8= 

38.  1X8+1X8+9X8= 

39.  1X8+1X8+8X8= 

40.  1X8+2X8+1X8= 

41.  3x7+2x7+3x7= 

42.  2x7+3x7+2x7= 

43.  3x7+1x7+1x7= 

44.  2X7+3X7+1X7= 

45.  3X7+3X7+6X7= 

46.  7X7+1X7+1X7= 

47.  2x7+2x7+6x7= 

48.  1X6+1X6+3X6= 

49.  3X6+3X6+6X6= 

50.  2X6+4X6+3X6= 


SECOND-YEAR   TEXT-BOOK.  77 

LESSON  XLIY. 

1.  9X9+3X4=93X1.  11-  6x8+7x2= 

2.  10X10+7X3=  12.  9X5+4X4= 

3.  9X8+6X5=  13.  3X8+3X4= 

4.  4X7+8X2=  14.  5x12+4x6= 

5.  9X6+7X3=  15.  3x7+5x4= 

6.  8X7+4X4=  16.  9x8+3x6= 

7.  6X6+5X5=  17.  7x7+3x3= 

8.  7X5+4X6=  18.  8X9+4X2= 

9.  8X8+6X4=  19.  9x6+3x4= 
10.  10X7+5X6=.  20.  11X8+5X3= 

21.  7X1+5X1+6X1+4X1+7X1+5X1= 
34X1. 

22.  6X1+8X1+7X1+8X1+6X1+9X1=: 

23.  9X1+8X1+7X1+6X1+5X1+4X1= 

24.  8  X 1+10  X 1+7  X  1+5x1+9*1+10x1= 

25.  11X1+11X1+11X1+7X1  +  11X1  + 
9X1= 

26.  8X1+5X1+9X1+7X1+6X1+10X1= 

27.  12X1+7X1+6X1+4X1+8X1+8X1= 

28.  13X1+8X1+7X1+9X1+9X1+7X1= 

29.  10X1+10X1+8X1+10X1+9X1+7X1= 

30.  12X1+12X1+7X1+6X1+5X1+6X1= 

31.  13X1+7X1+9X1+9X1+7X1+9X1= 

32.  11  X  1  +  11  X  1+11  X 1  +  11  X 1+11X1+ 
8X1= 

33.  9X1+8X1+9X1+8X1+9X1+8X1= 


78  SECOND-YEAR    ARITHMETIC. 

34  6 X 1+11 X l+Sxl+7Xl+9xl+5xl=r 

35.  10X1+12X1+8X1+7X1+9X1+3X1= 

36.  7X1+7X1+7X1+8X1+7X1+6X1= 

37.  9X1+6X1+7X1+9X1+6X1+5X1= 

38.  10X1+7X1+6X1+7X1+9X1+7X1= 

39.  8X1+8X1+8X1+7X1+7X1+7X1= 

40.  6X1+6X1+7X1+7X1+6X1+5X1= 

LESSON' XL  Y. 

NOTE. — The  children  are  to  be  taught  to  write  numbers 
from  400  to  1000. 

SUBTRACTION. 

(1)  (2)  (3)  (4)  (5) 
376  724  546  665  448 
124  113  413  104  135 

(6)  '  (7)  (8)  (9)  (10) 
243  437  576  993  876 
131  426  132  172  544 

(11)  (12)  (13)  .  (14)  (15) 
416  962  827  770  676 
312  701  416  320  105 

16.  CCXXY=  20.  XIY=: 

17.  CIX=         •  21.  XXXYL= 

18.  XCIY=r  22.  LXYII= 

19.  LXXXY1II=  23.  CCXXIII= 


SECOND-YEAR   TEXT-BOOK.  79 

24.  CCXCV=  30.  310= 

25.  CCXL=  31.  163= 

26.  275=  32.  342= 

27.  386=  33.  202= 

28.  254=  34.  119= 

29.  101=  35.  299= 

LESSON  XLYI. 

SUBTRACTION. 

(1)            (2)  (3)            (4)            (5) 

738          660  814          554         925 

127         610  712          132         113 

(6)           (7)  (8)           (9)          (10) 

327         776  443          667         735 

216          661  322          616          514 

(11)         (12)  (13)         (14)        (15) 

827          326  514          665          929 

116          324  310          322         727 

16.  7X7+3X5=64X1.  24.  7x6+4x3= 

17.  9X6+4X4=  25.  9x9+3x2= 

18.  10X8+3X10=  26.  11x6+5x4= 

19.  9X7+6X3=  27.  7x9+6x2= 

20.  8X9+7X2=  28.  8x8+4x4= 

21.  7X6+3X8=  29.  11x7+3x5= 

22.  6X6+5X5=  30.  9x10+4X6= 

23.  9X8+5X7= 


80  SECOND-YEAR    ARITHMETIC. 

LESSON  XLYII. 


(1) 

(2) 

(3) 

W 

(5) 

6 

7 

3 

5 

5 

5 

6 

9 

7 

5 

8 

4 

10 

2 

5 

7 

7 

7 

6 

5 

10 

11 

12 

U 

8 

(6) 

CO 

(8) 

(9) 

(10) 

7 

4 

6 

4 

4. 

3 

6 

6 

4 

4 

6 

10 

-  7 

7 

5 

11 

7 

7 

6 

10 

13 

15 

6 

9 

12 

(11) 

(12) 

(13) 

(14) 

(15) 

7 

9 

3 

13 

10 

3 

2 

6 

7 

9 

6 

9 

7 

6 

6 

4 

3 

13 

4 

3 

8 

9 

12 

12 

14 

16.  8X1+7X1+9X1+7X1+6X1+7X1= 
44X1. 

17.  11X1+7X1+9X1+10X1+7X1+6X1= 

18.  12X1  +  12X1  +  7X1  +  7X1+10X1+ 
6X1= 

19.  13X1+11X1+7X1+6X1+5X1+7X1= 

20.  14  X  1  +  10  X  1  +  7X1  +  6X1+6X1+ 
10X1= 


SECOND- YEAR    TEXT-BOOK.  81 

21.  ll!X  1+11X1  + 11  XI +11X1+HX1+ 

nxi= 

22.  12X1+12X1+9X1+8X1+6X1+5X1= 

23.  12X1  +  11X1  +  10X1  +  9X1+8X1+ 
7X1= 

24.  9X1+7X1+6X1+7X1+9X1+6X1= 

25.  8X1  +  10X1  +  8X1  +  10X1+8X1+ 

10X1= 

26.  156=CLVI.  31.  183= 

27.  294=  32.  62= 

28.  127=  33.  237= 

29.  255=  34.  148= 

30.  378=  35.  107= 

LESSON  XLYIII. 

1.  Fred  sold  24  papers  on  Monday,  and  37 
papers  on  Tuesday ;   how  many  papers  did  he 
sell  during  the  two  days?    Ans. — He  sold   61 
papers. 

2.  How  much  will  1  peck  of  peanuts  cost  at 
5  cts.  a  quart  ?     Ans. — They  will  cost  8x5  cents 
which  are  40  cents. 

3.  How  many  feet  in  9  yards  ? 

4.  Kate  ran  12  yards  ;   how  many  feet  did 
she  run  ? 

5.  How  many  spools  of  thread  at  5  cents  a 
spool  can  be  bought  for  45  cents  ? 


82  SECOND-YEAR    ARITHMETIC. 

6.  How  many  quarts  in  6  gallons  ? 

7.  Lucy  is  15  years  old  and  her  mother  is  25 
years  older ;  how  old  is  her  mother  ? 

8.  John  paid  18  cents  for  some  candy  and  13 
cents  for  some  peanuts ;  how  much  did  he  pay 
for  both  ? 

9.  6XY+7X6=:  18.  11X6+6X3= 

10.  8X5+3X3=  19.  7X5+5X5= 

11.  9X6+6X2=  20.  8X4+4X7= 

12.  8X7+7X3=  21.  6x6+5x5= 

13.  12X4+4X6=  22.  8x8+3x3= 

14.  7X3+8X4=  23.  9x9+4x4= 

15.  9X5+5X5=  24.  12x12+5x3= 

16.  10X7+7X4=  25.  7x11+6x4= 

17.  8X6+6X3= 

LESSON  XLIX. 

1.  7X5+6X2+3X1=50X1. 

2.  8X7+4X4+2X2= 

3.  9X4+6X4+3X3= 

4.  10X6+7X3+6X2= 

5.  6X9+9X2+4X4= 

6.  8X8+5X5+1X6= 

7.  9X7+6X5+3X4= 

8.  7x7+5x7+6x1= 

9.  9X10+3X8+1X10= 
10.  5X11+7X4+2X1= 


SECOND-YEAR   TEXT-BOOK. 

11.  8X9+6X3+3X2= 

12.  9X5+5X5+2X2= 

13.  4X11+7X4+2X5= 

14.  6X10+7X3+3X2= 

15.  9X7+3X4+2X2= 

SUBTRACTION. 

(16)    (17)    (18)    (19)  (20) 

756    994    864    660  526 

136    632    322    550  416 

(21)  (22)  (23)  (24)  (25) 
437  360  673  928  875 
126  250  661  716  661 

(26)  (27)  (28)  (29)  (30). 
384  956  726  676  963 
273  325  114  506  721 

(31)  (32)  (33)  (34)  (35) 
846  749  676  952  676 

726    627    676    752    624 


LESSON  L. 

1.  5X12+3X12+2X12=10X12=120X1 

2.  3X12+1X12+1X12= 

3.  4X12+4X12+4X12= 

4.  1X12+1X12+1X12= 


-84:  SECOND-YEAK     ARITHMETIC. 

5.  3X12+2X12+2X12=: 

6.  1X12+1X12+2X12= 

7.  3X12+3X12+3X12= 

8.  2X12+2X12+2X12= 

9.  3X12+4X12+4X12= 

10.  1X12+3X12+5X12= 

11.  3X11+3X11+3X11= 

12.  2X11+3X11+5X11= 

13.  1X11+3X11+7X11= 

14.  2X11+3X11+3X11= 

15.  3X11+4X11+5X11= 

16.  2X11+3X11+2X11= 

17.  3X11+1X11+1X11= 

18.  2X11+2X11+2X11= 

19.  3X10+3X10+4X10= 

20.  2X10+4X10+2X10= 

21.  3X10+5X10+3X10= 

22.  1X10+1X10+10X10=: 

23.  2X10+2X10+2X10= 

24.  3X9+3X9+4X9= 

25.  3X9+1X9+1X9= 

26.  1X9+1X9+1X9= 

27.  3X9+2X9+2X9= 

28.  2X9+1X9+1X9= 

29.  3X9+2X9+3X9= 

30.  2X9+4X9+6X9= 
-31.  3X9+3X9+5X9= 


SECOND-YEAK   TEXT-BOOK.  85* 

32.  1X9+3X9+2X9= 

33.  2X8+3X8+3X8= 

34.  3X8+4X8+5X8= 

35.  1X8+1X8+1X8= 

36.  3X8+1X8+1X8= 

37.  1X8+1X8+5X8= 

38.  2X8+2X8+2X8= 

39.  3X8+1X8+5X8= 

40.  1X8+7X8+3X8= 

LESSON  LI. 

NOTE.— The  children  are  to  be  taught  to  add  the  first 
column  and  write  the  right  hand  figure  of  the  sum  un- 
der the  first  column,  and  add  the  left  hand  figure  of 
the  sum  to  the  second  column;  proceeding  thus  with  each 
column  until  the  last  column  when  the  whole  number  of 
the  sum  is  written.  Nothing  is  said  to  the  children  of 
units,  of  tens,  or  of  "  carrying."  (See*Nos.  21-32.) 

1.  2X12+3X12+2X12=7X12=84X1- 

2.  3X12+4X12+2X12= 

3.  3X12+3X12+5X12= 

4.  2X12+1X12+2X12= 

5.  3X12+1X12+2X12= 

6.  2X12+1X12+1X12= 

7.  3X12+3X12+2X12= 

8.  2X12+4X12+4X12= 

9.  3X12+3X12+6X12= 
10.  1X12+1X12+1X12= 


86  SECOND-TEAE    ARITHMETIC. 

11.  7x7+5x5+3x3= 

12.  9X9+5X6+3X2= 

13.  7X8+5X7+6X1=: 

14.  8X9+6X^+3X2= 

15.  9X7+5X8+2X4= 

16.  10X6+7X4+4X4= 

17.  6X7+7X6+6X1= 

18.  8X5+9X3+2X5= 

19.  9X4+4X8+3X6= 

20.  3X11+7X8+6X2= 
(21)     (22)     (23)     (24) 
325     114     386     136 
134     411     168     163 
268     141     144     212 

74     114   .   221     122 

(25)    -(26)     (27)     (28) 

139  330  135  314 

283  303  72  413 

72  333  164  134 

6  33  8  25 

(29)     (30)     (31)     (32) 

36  550  382  306 

124  105  76  603 

275  96  9  8 

13  9  135  7 


SECOND-YEAR   TEXT-BOOK.  87 


(33) 

(34) 

(35) 

(36) 

134 

212 

316 

414 

6 

75 

67 

144 

152 

134 

127 

94 

71 

63 

8 

4 

LESSON 

LIL 

(1) 

(2) 

(3) 

(4) 

275 

514 

114 

327 

133 

73 

206 

54 

246 

164 

138 

6 

74 

9 

110 

131 

(5) 

(6) 

m 

(8) 

766 

324 

115 

314 

9 

125 

511 

413 

34 

146 

127 

134 

7 

93 

16 

34 

ff) 

(10) 

(11) 

(12) 

(13) 

167 

245 

313 

726 

212 

27 

135 

180 

96 

186 

137 

275 

109 

145 

127 

7 

135 

27 

37 

155 

(14) 

(15) 

(16) 

(17) 

(18) 

113  . 

138 

275 

115 

136 

76 

147 

75 

74 

127 

127 

126 

135 

318 

215 

34 

336 

75 

76 

74 

88  SECOND-YEAR    ARITHMETIC. 

19.  3X9+2X9+3X9=8X9=72X1. 

20.  1X9+4X9+5X9= 

21.  2X9+3X9+1X9= 

22.  3X9+4X9+5X9= 

23.  1X9+3X9+1X9= 

24.  1X9+1X9+1X9= 

25.  2X9+3X9+2X9= 

26.  2x9+3x9+4x9= 

27.  1X9+1X9+2X9= 

28.  3X9+3X9+5X9= 

29.  3X8+7X8+2X8= 

30.  1X8+4X8+2X8= 

31.  2X8+1X8+1X8= 

32.  3X8+2X8+3X8= 

33.  3X8+5X8+1X8= 

34.  2X8+3X8+2X8= 

35.  3X8+3X8+4X8= 

36.  2X8+4X8+5X8= 

LESSON  LIII. 

1.  10X1+9X1+8X1+7X1+6X1+5X1 

=45x1. 

2.  9X1+7X1+6X1+6X1+7X1+7X1= 

3.  8X1+7X1+9X1+9X1+9X1+6X1= 

4.  11X1+11X1+11X1+9X1+7X1  + 

10X1= 

5.  9X1+9X1+9X1+9X1+9X1+9X1= 


SECOND-TEAK   TEXT-BOOK.  89^ 

6.  8X1+8X1+8X1+8X1+8X1+8X1= 

7.  7X1+7X1+7X1+7X1+7X1+7X1= 

8.  6X1+6X1+6X1+6X1+6X1+6X1= 

9.  5X1+HX1+5X1+HX  1+*5X1  + 
11X1= 

10.  7X1+7X1+6X1+6X1+5X1+5X1= 

11.  8X1  +  8X1  +  10X1+7X1+6X1+ 

4X1= 

12.  5X1+8X1+5X1+8X1+5X1+8X1= 

13.  6X1  +  10X1  +  5X1+7X1+7X1+ 
4X1= 

14.  12X1+3X1+5X1+4X1  +  10X1  + 
6X1= 

15.  9X1+5X1+7X1+7X1+6X1+8X1= 

16.  11X1  +  12X1+8X1+7X1+5X1  + 

5X1= 

17.  9*1+8X1+7X1+7X1+3X1+3X1= 

18.  8X1+5X1+5X1+5X1+5X1+5X1= 

19.  6X1+5X1  +  7X1+11X1+7X 
2X1= 

20.  9X1+3X1  +  12X1+5X1  +  6X 
7X1= 

•21.  CCLXYI=  26.  0011=: 

22.  CXC=i  27.  CXIX= 

23.  CCCXXXIII=  28.  CCCXY— 

24.  LXXIY=:  29.  CLXXIi= 

25.  XCVIII=  30.  CCXLIII= 


90  SECOND-YEAR     ARITHMETIC. 

31.  CCCLVIIi=  36.  155= 

32.  CV=  37.  286= 

33.  LXIX=  38.  397= 
34  274=  39.  143= 
35.  321=  40.  369= 

LESSON  LIT. 

1.  How   many   inghes   in    8  feet  ?     Ans.— 
There  are  8x12  inches,  which  are  96  inches. 

2.  How  many  months  in  9  years  ? 

3.  How  many  pecks  in  7  bushels  ? 

4.  How  many  quarts  in  12  pecks  ? 

5.  In  6  gallons,  how  many  quarts  ? 

6.  How  many  feet  in  36  inches  ? 

7.  John   shot   an   arrow   33  feet;   how   far 
would  he  have  to  go  to  get  the  arrow  and  bring 
it  back  ? 

8.  Sara  is  7  years  old  and  her  father  is  4 
times  as  old ;  how  old  is  her  father  ? 

9.  6X8+7X3=69X1. 

10.  9X5+4X8=     18.  9X6+6X3= 

11.  10X7+6X4=    19.  7X6+7X6= 

12.  8X5+6X7=     20.  11x5+5x11= 

13.  9x4+8x3=     21.  10x6+7x5= 

14.  7X6+6X7=     22.  8x7+7x6= 

15.  9X5+5X8=     23.  9x5+8x5= 

16.  7X6+6X3=     24.  9x9+8x3= 

17.  7x7+5x5=     25.  7x8+6x5= 


SECOND-YEAR   TEXT-BOOK. 


91 


LESSON  LY. 
1.  9X8+6X6=108X1. 


2.  5X9+8X6= 

3.  3X7+6X12= 

4.  8X8+5X5= 

5.  4X4+3X12= 

6.  9X2+8X6= 

7.  7X5+8X3= 

8.  2X12+3X6= 

9.  9X4+2X8= 

10.  7X5+8X3= 

11.  9X6+7X7= 

12.  8X3+6X5= 

13.  7X4+8X2= 

(26)    (27) 

118  5 

76  94 

94  182 

7  9 


14.  3X12+8X10= 

15.  9X2+10X0= 

16.  7X5+3X12= 

17.  9X4+7X7= 

18.  6X6+3X9= 

19.  9X2+8X7= 

20.  6x5+5x7= 

21.  4X12+3X0= 

22.  5X7+6X4= 

23.  7X2+8X3= 

24.  12X12+5X4= 

25.  3X11+8X2= 


(28) 

101 

296 
87- 
30 


(29) 

56 
87 
94 
79 


(30) 

310 
95 
18 
19 


(31) 

7 
29 
86 
187 

(32) 

127 
6 
118 
9 

(33) 

156 
9 
121 
18 

(34) 

7 
29 
8 
65 

(35) 

314 

20 
9 
9 

92  SECOND-TEAK   ARITHMETIC. 

(36)  (37)   .(38)    (39)  ,  (40) 

111  225    150    118  100 

79  86     93    116  110 

86  18     87    119  120 

97'  81      9    117  119 


-  (42)  (43)  (44)  (45) 

9  187  212  19  220 

59  59  120  118  202 

87  8  86  127  9 

196  126  95  59  18 

(46)  (47)  (48)  (49)  (50) 

375  416  372  516  284 

124  105  141  113  181 


LESSON  LYI. 

1.  45X1+18X1—63X1.  11.   66X1+44X1  = 

2.  36X1+54X1=  12.  40X1+56X1= 

3.  28X1+63X1=  13.  21x1+77x1= 

4.  56  X 1+35  X 1=  14.  100  X 1+81 X 1= 

5.  40X1+28X1=  15.  36X1+50X1= 

6.  64X1+36X1=  16.  54x1+45x1= 

7.  77X1+24X1=  17.  49x1+36x1= 

8.  84X1+21X1=  18.  55X1+81X1= 

9.  35X1+35X1=  19.  75X1+19X1= 
10.  54X1+40X1=  20.  63X1+50X1= 


SECOND-TEAR   TEXT-BOOK.  93 

21.  3X7+2X7+3X7=9X7=56X1. 

22.  2x7+2x7+5x7= 

23.  1x7+1x7+1x7= 

24.  3x7+3x7+4x7= 

25.  2X7+1X7+2X7= 

26.  1x7+2x7+1x7= 

27.  2x7+3x7+1x7= 

28.  1x7+1x7+5x7= 

29.  2x7+2x7+3x7= 

30.  3X7+3X7+2X7= 

31.  3x7+3x7+5x7= 

32.  2X7+4X7+6X7= 

33.  1x7+1x7+7x7= 

34.  2X6+3X6+3X6= 

35.  3X6+1X6+1X6= 

36.  2X6+7X6+2X6= 

37.  1x6+1x6+1x6= 

38.  3X6+1X6+2X6= 

39.  1X6+3X6+5X6= 

40.  2X6+2X6+3X6= 

41.  3X6+3X6+6X6= 

42.  1X6+2X6+1X6= 

43.  3X6+2X6+4X6= 

44.  3X6+1X6+6X6= 

LESSON  LYII. 

1.  6x7+5x7+3x3=86x1. 

2.  9X9+6X3+1X2= 


y 

JUtt 


94  SECOND-YEAR    ARITHMETIC. 

LESSON  LVIL 

1.  6X7+5X7+3X3=86X1. 

2.  9X9+6X3+1X2= 

3.  10X5+6X7+3X2= 

4.  9X5+7X4+4X1= 

5.  5X8+9X6+1X5= 

6.  7X7+6X6+2X2=  • 

7.  8X8+7X7+1X3= 

8.  9x5+6x7+3x3= 

9.  12X7+7X5+3X2= 

10.  9X6+6X9+5X2= 

11.  7X6+3X11+12X1= 

12.  10X7+7X8+3X4= 

13.  11X6+6X9+3X3= 

14.  12X5+7X9+5X1= 

15.  8X8+8X8+2X3= 

SUBTRACTION. 

(16)    (17)    (18)  .  (19)  (20) 

775    958    876    953  887 

121    148    304    100  663 

(21)  (22)  (23)  (24)  (25) 
736  584  735  518  376 
616  504  615  413  145 

(26)  (27)  (28)  (29)  (30) 
729.  584  646  848  966 
609  484  613  724  721 


SECOND-YEAE   TEXT-BOOK.  95 


31.  124=CXXIY. 
32.  207= 
S3.  356= 
34.  143= 
35.  256= 

36.  CI= 
37.  CCXYI= 
38.  CCCLXXXIY= 
39.  CXCYIII= 
40.  CCLX= 

LESSON  LYIII. 

(1) 

(2) 

(3) 

(4) 

(*) 

326 

255 

616 

327 

336 

154 

86 

76 

77 

100 

27 

7 

136 

127 

96 

133 

138 

6 

67 

276 

(6) 

(h 

(8) 

(9) 

(10) 

167 

100 

354 

716 

325 

155 

69 

86 

85 

76 

200 

184 

9 

9 

148 

73 

96 

2 

13 

9 

(11) 

(12) 

(13) 

(14) 

325 

229 

445 

154 

96 

75 

167 

74 

184 

186 

135 

138 

33 

35 

46 

26 

15.  3X12+3X12+3X12=9X12=108X1 

16.  2X12+2X12+2X12= 

17.  4X12+4X12+4X12= 


96  SECOND-YEAK    ARITHMETIC. 

18.  1X12+1X12+1X12= 

19.  2X12+2X12+1X12= 

20.  3X12+3X12+2X12= 

21.  2X12+2X12+7X12= 

22.  1X12+1X12+2X12= 

23.  3X12+2X12+2X12= 

24.  2X12+2X12+6X12= 

25.  1X12+2X12+1X12= 

26.  3X11+3X11+3X11= 

27.  2X11+5X11+4X11= 

28.  3X11+5X11+2X11= 

29.  2X11+2X11+2X11= 

30.  3X11+4X11+5X11= 

31.  3X11+5X11+1X11= 

32.  2X11+3X11+2X11= 

33.  1X11+1X11+3X11= 

34.  3X11+1X11+2X11= 

35.  2X10+3X10+4X10= 

36.  3X10+4X10+5X10= 

37.  1X10+2X10+3X10= 

38.  2X10+3X10+2X10= 

39.  4X10+4X10+3X10= 

40.  2X10+3X10+5X10= 

LESSON  LIX. 

1.  3X9+4X9+2X9=9X9=81X1 

2.  2X9+3X9+5X9= 


SECOND-YEAR   TEXT-BOOK.  97 

3.  1X9+2X0+4X9= 

4.  2X9+4X9+6X9= 

5.  3X9+2X9+6X9=: 

6.  2X9+2X9+1X9= 

7.  1X9+3X9+3X9= 

8.  2X9+1X9+3X9= 

9.  1x9+1x9+2x9= 

10.  2X9+3X9+3X9= 

11.  1X9+1X9+1X9= 

12.  3X8+3X8+3X8= 

13.  2X8+3X8+2X8= 

14.  1X8+1X8+1X8= 

15.  3X8+3X8+4X8= 

16.  2X8+3X8+7X8= 

17.  1X8+2X8+1X8= 

18.  2X8+1X8+3X8= 

19.  3X8+2X8+4X8= 

20.  1X8+2X8+2X8= 

21.  2X8+3X8+3X8= 

22.  3X8+5X8+3X8= 

23.  4X7+5X7+3X7= 

24.  2X7+3X7+2X7= 
26.  3x7+3x7+5x7= 

26.  3X7+3X7+2X7= 

27.  1x7+3x7+2x7= 

28.  2x7+3x7+4x7= 

29.  2x7+1x74-2x7= 


98  SECOND-YEAR    ARITHMETIC. 

30.  3x7+5x7+1x7:= 

31.  3x7+1x7+5x7= 

32.  2X7+1X7+1X7= 

33.  2x7+3x7+5x7= 
34  3x7+2x7+4x7= 

SUBTRACTION. 

(35)  (36)  (37)  (38) 

725  984  609  927 

014  723  102  16 


(39)  (40)  (41)  (42) 

346  828  774  514 

5  716  363  13 

(43)  (44)  (45)  (46) 

675  544  476  373 

613  322  133  253 

(47)  (48)  (49)  (50) 

246  527  327  440 

135  6  116  140 


LESSON  LX. 

1.  How  many  inches  in  7  feet  ?     Ans. — There 
are  7x12  inches  which  are  84  inches. 

2.  How  many  quarts  in  8  pecks  ? 


SECOND-YEAR   TEXT-BOOK.  90 

3.  I  paid  18  cts.  for  a  book,  16  cts.  for  some 
paper,  and  9  cts.  for  an  eraser ;  how  much  did  I 
pay  for  all  ? 

4.  Kate  had   14  apples   and  ate  6  of  them; 
how  many  had  she  left  ? 

5.  How  many  oranges,  at  6  cts.  each,  call  be 
bought  for  42  cts.  ? 

6.  If  one  bunch  of  beets  cost  8  cts.,  how  muck 
will  9  bunches  cost  ? 

7.  How  many  quarts  in  7  gallons  ? 

8.  9X6+6X4=78X1.     15.  fx  11+6x6=- 


9.  7X8+6X5= 

16.  6x7+5x8= 

10.  9X7+5X4= 

17.  8X4+7X5= 

11.  12X5+7X3= 

18.  9X6+6X3= 

12.  9X6+6X4= 

19.  7X11+11X2= 

13.  8X7+7X3= 

20.  2X12+7X8=: 

14.  6X9+5X5= 

LESSON 

LXI. 

1.  9X5+6X3=63X1. 

11.  10X7+7X6= 

2.  8X7+5X6= 

12.  11x6+8x4=:. 

3.  5X7+9X4= 

13.  8x8+9x5= 

4.  8X3+7X5= 

14.  7X9+8X7= 

5.  9X6+7X7= 

15.  6X12+7X5= 

6.  8X8+6X6= 

16.  5X11+11X6=: 

7.  7X7+9X4= 

17.  9X10+7X6= 

8.  6X11+7X5= 

18.  8X9+6X4= 

9.  12X9+8X7= 

19.  7X8+5X10— 

10.  9X5+5X9= 

20.  9X4+5X7=- 

100  SECOND- YE  A  B    ARITHMETIC. 

(21)  (22)    (23)1    (24)  (25) 

635  316  413  276  312 

74  76  86  135  128 

124  136  7  128  106 

52  128  5  110  160 

(26)  (27)    (28)  (29)  (30) 

119  202    576  135  115 

189  222     83  6  76 

191  220    126  8  184 

111  22      5  514  33 

(31)  (32)  (33)  (34) 

376  576  316  275 

76  35  76  161 

6  114  56  44 

136  141  96  33 


LESSON  LXII. 

1.  9X5+8X3+2X2=73X1- 

2.  7X6+6X5+4X2= 

3.  8X7+5X4+3X2= 

4.  10X6+7X5+4X3= 
•5.  9X4+8X7+3X1= 

6.  6X8+7X7+5X2= 

7.  9X5+8X4+3X3= 
:8.  7X6+6X7+5X3= 


SECOND-YEAK   TEXT-BOOK.  101 

9.  9X6+6X6+1X3=, 

10.  7X9+5X8+4X2= 

11.  8X7+6X4+3X1=^ 

12.  9X9+7X5+3X2= 

13.  7X6+6X7+3X3= 

14.  5X9+9X7+1X4= 

15.  4X8+7X2+2X5= 

SUBTRACTION. 

(16)  (17)  (18)  (19)  (20) 
376  954  854  416  544 
125  723  722  314  323 

(21)   (22)   (23)   (24)   (25) 

675  809  514  446  365 
671  301  512  324  65 

(26)   (27)   (28)   (29)   (30)  > 
514    330    514    376    418 
114    320    413     4    11& 

(31)  (32)  (33)  (34)  (35) 
372  514  376  728  518 
212  413  215  613  114 


LESSON  LXIII. 

1.  8X8+7X9+3X3=136X1. 

2.  9X4+8X5+3X2= 


102  SECOND-YEAR    ARITHMETIC. 

3.  7x7+6x5+4x1= 

4.  8X9+3X7+2X5= 

5.  9X4+3X3+7X2= 


6.  7x7+5x7=: 

7.  9X6+7X8= 

8.  8X6+5X8= 

9.  11X7+6X5= 

10.  9x7+7x8= 

11.  8X5+9X4= 

12.  7X6+8X5= 

13.  9X7+7X8= 

14.  10X7+6X8= 

15.  9X6+7X5= 

16.  CCLXYII= 
(27)  (28) 
336  225 
184  146 
125  38 

64  135 


17.  CXCIX= 

18.  CCOXLYI= 

19.  CCLXXXIII: 

20.  CCCXXXIIL 

21.  175= 

22.  263= 

23.  303= 

24.  111= 

25.  273= 

26.  390= 


(29) 
246 

38 
152 

76 


(30) 
318' 
165 
27 
141 


LESSON  LXIY. 

1.  6  X  1+7X1+5X1+8X1+7X1+6X1+ 

5X1=44X1. 

2.  9X*1+8X1+7X1+6X1+5X1+4X1+ 

3X1= 

-3.  10X1+6X1+6X1+6X1+5X1+5X1+ 
5X1= 


SECOND-YEAR   TEXT-BOOK.  103 

4.  7  X  1+7X1+8X1+8X1+9X1+9X1+ 

10X1= 

5.  6  X  1+8X1+5X1+9X1+7X1+9X1+ 

5X1= 

6.  5X1+11X1+5X1+9X1+7X1+6X1+ 

6X1= 

7.  12  X  1  +  12X1+11X1+11X1+6X1+ 

10X1+10X1= 

8.  Hxl  +  llXl  +  7xl+7xM-7xl+ 

6X1+6X1= 

9.  10  X  1+10X1+8X1+7X1+6X1+7X1 

+6X1= 

10.  10X1+8X1+8X1+7X1+5X1+5X1+ 

7+1= 

11.  12X1+6X1+6X1+7X1+5X1+7X1+ 

9X1= 

12.  10X1  +  6X1  +  10X1+6X1+10X1+ 

6X1+10X1= 

13.  9X1+5X1+10X1+7X1+7X1+7X1+ 

6X1= 

14.  7  X  1+5X1+7X1+5X1+7X1+5X1+ 

7X1= 

15.  6  X  1+8X1+6X1+8X1+6X1+8X1+ 

6X1= 

16.  11  X  1  +  11  X1+11X1+HX1+11X1+ 

11x1+11x1= 

17.  9X1+9X1+9X1+9X1+9X1+9X1+ 

9X1= 


104  SECOND-YEAR    ARITHMETIC. 

18.  8X1+8X1+8X1+8X1+8X1+8X1+ 

8X1=  ' 

19.  7  X  1+7x1+7x1+7x1+7x1+7x1+ 

7X1= 

20.  6  X  1+6X1+6X1+6X1+6X1+6X1+ 

6X1= 

SUBTRACTION. 

(21)  (22)  (23)  (24)  (25) 
676  375  544  350  273 
135  *  144  104  120  100 

(26)  (27)  (28)  (29)  (30) 
•416  549  927  676  276 
114  136  114  135  136 

LESSON  LXY. 

1.  If    one    orange  cost   5   cts.,   how   many 
oranges  can   be   bought  for  45  cts.?     Ans. — 9 
oranges  can  be  bought  for  45  cts.;  or  45  cts.  will 
buy  9  oranges. 

2.  James  paid  16  cts.  for  a  book,  and  23  cts. 
for  some  paper ;  how  much  did  he  pay  for  both  ? 

3.  How  many  months  in  8  years  ? 

4.  George  is  7  years  old,  how  many  months, 
old  is  he  ? 

5.  James  shot  an  arrow  53  feet ;  he  sent  a  boy 
after  it ;  how  many  feet  would  the  boy  have  to 
go  to  get  the  arrow  and  bring  it  back  to  James  ? 


SECOND-YEAR   TEXT-BOOK. 


105 


6.  9X6+6X3=72X1. 

7.  7X6+6X8= 

8.  9X5+7X4= 

9.  7x6+6x8= 

10.  8X5+9X3= 

11.  7X11+6X5= 

12.  2X12+9X6= 

13.  8X5+7X8= 

14.  7X9+5X5= 

15.  9X9+3X7= 


16.  8X6+7X2= 

17.  9X8+8X5= 

18.  7x3+4x12= 

19.  11X6+6X5= 

20.  8X7+8X6= 

21.  9X8+5X5= 

22.  12X6+6X3= 

23.  6xll+HX5= 

24.  7X8+8X6= 

25.  6X8+9X6= 


LESSON  LXVI. 

(1)  (2)  (3)     (4) 

225  385  414 

136  74  44 

274  7  314    128 

316  164  24     54 


276 


(5) 
554 
136 
374 

28 


(6) 
336 
137 
273 
54 


128 
35 

246 
36 


(8) 

314 

74 

55 

235 


667 
5 
9 

184 


(10) 

376 

58 

124 

9 


(11) 
274 
138 
215 
46 


(12) 

346 

372 

26 

12 


(13) 
415 

75 
135 

65 


(14) 

427 
35 

164 
24 


(15) 
445 
378 
126 
54 


106 


SECOND-YEAR   ARITHMETIC. 


16.  6X9+8X4=86X1. 

17.  9X6+5X8= 

18.  8X7+6X8=; 

19.  5X9+9X5= 

20.  7X6+6X7= 

21.  6X11+7X5= 

22.  9X8+7X7= 

23.  12X6+6X5= 


24.  8X8+6X6= 

25.  9X9+7X4= 

26.  12X6+6X5= 

27.  9X10+10X4= 

28.  5X11+11X5= 

29.  8X7+7X7= 

30.  9X6+5X7= 


LESSON  LXYII. 


1.  12X8+4X5=116X1. 

2.  9X9+6X5= 

3.  8X7+9X*= 

4.  9X7+7X4= 

5.  8X6+5X6= 

6.  9X10+7X3= 

7.  10X10+6X6= 
•8.  11x7+7x5= 
9.  6X11+7X6= 

10.  7X8+8X5= 


11.  9X7+7X4= 

12.  4X11+HX4: 

13.  10X7+7X10: 

14.  8x7+7x7= 

15.  9x6+6x6= 

16.  9x9+8x7= 

17.  8X11+HX3: 

18.  8X7+2X9= 

19.  6X12+12X5: 
20.:  7X5+5X7= 


(21) 

(22) 

(23) 

(24) 

(25) 

376 

275 

134 

276 

275 

154 

145 

109 

310 

146 

123 

135 

196 

209 

109 

143 

295 

209 

111 

76 

SECOND-YEAR   TEXT-BOOK.  107 


(26) 

(27) 

(28) 

(29) 

(30) 

346 

427 

567 

376 

254 

37 

96 

27 

27 

13 

126 

137 

128 

9 

134 

147 

34 

54 

124 

66 

(31) 

376 
64 
134 
94 

(32) 

427 
96 
136 

276 

(33) 

276 
136 
256 
196 

(34) 
346 
27 
154 
35 

(35) 

416 
76 
136 
25 

LESSON  LXYIII. 

1.  3X12+2X12+3X12=8X12=96X1, 

2.  2X12+4X12+4X12= 

3.  1X12+1X12+1X12= 

4.  3X12+2X12+2X12= 

5.  2X12+1X12+2X12= 

6.  3X12+6X12+3X12= 

7.  1X12+1X12+2X12= 

8.  1X12+3X12+2X12= 

9.  3X12+2X12+6X12= 

10.  1X12+3X12+5X12= 

11.  2X12+3X12+2X12= 

12.  3X9+4X9+5X9= 

13.  1X9+2X9+3X9= 

14.  2X9+3X9+4X9= 

r  -^ 


108  SECOND-YEAR    ARITHMETIC. 

15.  3X9+2X9+2X9= 

16.  3X9+4X9+4X9= 

17.  1X9+1X9+1X9= 

18.  2X9+4X9+4X9= 

19.  1X9+2X9+1X9= 

20.  2X9+4X9+2X9= 

21.  3X9+1X9+1X9= 

22.  2X9+5X9+2X9= 

23.  3X^+5X7+2X7= 

24.  1x7+1x7+1x7= 

25.  3x7+5x7+3x7= 

26.  2X7+1X7+2X7= 

27.  3x7+2x7+2x7= 

28.  1x7+3x7+8x7= 

29.  2X7+2X7+4X7= 

30.  1x7+2x7+3x7= 

SUBTRACTION. 

(31)  (32)  (33)  (34)  (35) 
355  724  518  767  500 
123  613  114  316  100 

(36)   (37)   (38)   (39)   (40) 

646  327  276  534  779 
101  13  10  321  32ft 


SECOND-YEAR   TEXT-BOOK. 


109 


LESSON  LXIX. 

NOTE. — Teach  the  children  to  write  numbers  from  1,OCO 
to  10,000. 


1.  9X6+5X8=94X1. 

2.  7X8+4X9= 

3.  8X9+6X5= 

4.  9X9+4X8= 

5.  7X6+6X7= 

6.  8X9+5X6= 

7.  6X11+4X5= 

8.  5X7+8X6= 

9.  4X12+12X4= 
10.  9X8+7X3= 

(21)   (22)   (23) 


448 

326 

16 

144 


514  376 

44  154 

134  138 

64  52 


11.  8X6+6X5= 

12.  9X3+10X4= 

13.  7X6+6X8= 

14.  9X7+8X4= 

15.  7X6+6X8= 

16.  9x5+4x8= 

17.  7x6+5x10= 

18.  9X3+8X7= 

19.  10x7+6x6= 

20.  8X6+5X5= 
(24)   (25) 
374   376 
152    154 

54    13 
138    124 


,(26) 

(27) 

(28) 

(29) 

(30) 

(31) 

126 

306 

204 

546 

327 

275 

146 

180 

240 

164 

372 

614 

126 

127 

114 

138 

168 

641 

236 

110 

141 

183 

186 

37 

LESSON  LXX. 
1.  11 X 1+11 X 1+10  X 1+10  X 1+9  X 1+9  X 


110  SECOND-YEAR    ARITHMETIC. 

2.  9X1+9X1+9X1+7X1+7X1  +  7X1+ 

7X1= 

3.  6X1+6X1+7X1+6X1+7X1  +  6X1+ 

8X1= 

4.  10X1+7X1+6X1+7X1+8X1+9X1+ 

6X1= 

5.  5X1+8X1+5X1+8X1+5X 

5X1= 

6.  7X1+6X1+8X1+7X1+9X 

7X1= 

7.  10xl+10xl+8xl+8Xl+6x 

1+6X1= 

8.  5X1+9X1+5X1+10X1+8X1+7X1+ 

8X1= 

9.  6X1+11X1+7X1+6X1+9X1+6X1+ 

5X1= 

10.  9X1+8X1+7X1+6X1+5X1+4X 

3X1= 

11.  12X1+12X1+8X1+7X1+10X 

1+10x1= 

12.  13X1+8X1+7X1+9X1+7X1+8X1+ 

9X1= 

13.  12X1+11X1+10X1+9X1  +  8X1+7X 

1+6x1= 

14.  7X1+7X1+6X1+7X1+9X1+8X1  + 

7X1= 

15.  8X1+7X1+8X1+7X1+8X1  +  7X1  + 

8X1= 


SECOND-TEAK   TEXT-BOOK.  Ill 

16.  6xl+6Xl+<iXl+6Xl+6Xl+6Xl+ 

6X1= 

17.  7X1+TX1+7X1+7X1+7X1+7X1+ 


18.  3X1+8X1+8X1+3X1+8X1+3X1+ 

8X1= 

19.  14X1+7X1+7X1+7X1+7X1+7X1+ 

6X1= 

20.  12X1+12X1+12X1+11X1+10X1+ 

9X1+8X1= 


(21) 
515 
76 
124 
35 

(22) 
341 
186 
427 
135 

(23) 
616 
154 
145 
155 

(24) 
276 
136 
127 
55 

(25) 
135 

76 

128 
74 

(26) 
236 
95 
138 
26  ' 

(27) 
414 
76 
426 
137 

(28) 
545 
126 
425 
165 

(29) 
256 
64 
9 
354 

(30) 
356 
56 

276 
446 

LESSON  LXXI. 

1.  James  spent  12  cts.  for  candy,  8  cts.  for 
peanuts,  12  cts.  for  oranges,  and  9  cts.  for 
lemons ;  how  much  money  did  he  spend  for  all  ? 
Ans.— He  spent  41  cts. 


112  SECOND-YEAR    ARITHMETIC. 

2.  How  much  will  a  pecfc  of  beans  cost  at  8 
cts.  a  quart  ? 

3.  How  many  feet  in  4^yards  ? 

4.  How  many  feet  in  9  yards  ? 

5.  How  many  inches  in  2  yards  ? 

6.  George  had  18  marbles  and  lost  9  of  them  ; 
how  many  had  he  left  ? 

7.  There  are  7  girls  in  each  of  12  rows  ;  how 
many  girls  in  the  12  rows  ? 

8.  10X3+6X9=84X1.  17.  6x9+3X/T=: 

9.  8X7+5X5=      18.  8x5+3x10= 

10.  8X8+6X3=  19.  7X6+6X4= 

11.  9X5+7X4=  20.  8X3+9X5= 

12.  7x6+9x5=  21.  7x8+8x3= 

13.  11X6+3X9=  22.  6x^+7x5= 

14.  9X5+7X6=  23.  9x4+8x7= 

15.  8X7+11X3=  24.  6x8+3x12= 

16.  12X6+5X3=  25.  9x11+4x6= 

LESSON  LXXII. 

1.  7X8+6X8+3X2=110X1. 

2.  2X5+7X7+8X1= 

3.  3X9+9X3+8X5= 

4.  8X7+6X5+2X12= 

5.  2X12+5X9+8X3= 

6.  6X5+6X8+7X2= 

7.  9X9+4X9+3X5= 


SECOND-YEAR   TEXT-BOOK.  113 

8.  2X12+8X6+2X2= 

9.  8X6+9X4+8X3= 

10.  9X5+7X6+4X4= 

11.  7X4+5X9+4X2= 

12.  8X6+3X8+6X2= 

13.  9X7+9X3+7X4= 

14.  12X4+3X8+5X2= 

15.  3X7+9X5+4X3= 

16.  5X5+6X6+3X3= 

17.  11X6+8X5+4X2= 

18.  10X7+6X3+3X6= 

19.  8X8+9X5+2X6= 

20.  9X3+7X4+8X1= 

21.  3X9+9X5+4X2= 

22.  12X6+7X3+2X5= 

23.  5X6+9X6+3X3= 

24.  7X7+7X7+1X1= 

25.  9X5+9X6+3X3= 
9X7=63.       10X10=        12X7= 
8X5=  7X8=  4X12= 
12X4=           3X9=  8X8= 
9x3=            8X12=          7x6= 
11X11=        5x7=  5X4= 
5X7=            9X3=            9X3= 
6X9=            7X6=            12X4= 
7x6=            6X9=            6X11= 
8X3=            8X7=            7X4= 
5X7=            5x8=            3X9= 


114 


SECOND-YEAR    ARITHMETIC. 

12X9= 

3X12= 

8X6= 

8X3= 

9X4= 

4X3= 

9X6= 

8X12= 

5X11= 

11X10= 

7X3= 

9X4= 

LESSON  LXXIII. 

1.  CCLXXXYIII=288.       9.  276= 

2.  CCCXL1Y=  10.  318= 

3.  CXCIX=  11.  263= 

4.  CCLXYI=  12.  202= 

5.  CCCXIX=  13.  220= 

6.  LXVIII=  14.  313= 

7.  CCCXYII=  15.  339= 

8.  145= 

SUBTRACTION. 

(16)        (17)        (18)        (19)  (20) 

518        747        516        287  764 

114         526         316         175  324 

21.  9X9+8X6=129X1.  29.  9x10+6x3= 

22.  8X7+6X6=  30.  11x7+5x6= 

23.  7X7+5X4=  31.  9x3+3x9= 

24.  9X6+5X5=  32.  11x5+5x11= 

25.  10X5+6X4=  33.  6x7+8x4= 

26.  8x7+7x5=  34.  10x8+8x3= 

27.  9X6+8X4=  35.  9x6+6x5= 

28.  7X8+5X9=  36.  5x8+8x6= 


SECOND-YEAK   TEXT-BOOK. 


115 


LESSON  LXX1V. 


1.  8X7+6X5=86X1. 

2.  9X9+6X6= 

3.  8X7+5X4= 

4.  .9X6+6X3= 

5.  7X6+6X7= 

6.  6X11+5X9= 

7.  5X8+7X4= 

8.  9X6+6X5= 

9.  8X4+4X8= 
10.  12X3+3X11= 

(21)        (22)        (23) 


376 
154 
243 

38 


667 

35 

124 

131 


274 
336 
157 
246 


11.  5X11+10X6= 

12.  7X6+5X5= 

13.  9X9+5X6= 

14.  11X7+7X4= 

15.  12x4+4x10= 

16.  8X7+9X3= 

17.  9X5+8X4= 

18.  4X9+2X10= 

19.  8X3+10X3= 

20.  6X9+6X6= 
(24)        (25) 


135 
279 
246 

80 


157 

136 

48 

24 


(26) 
375 
121 

82 

7 


(27) 
164 
128 
29 
594 


(28) 

316 

66 

138 

257 


(29) 
244 
138 
376 
125 


(30) 

313 

123 
253 
173 


(1) 

246 

135 


LESSON  LXXY. 

SUBTRACTION. 
(2)  (3)  (4) 

802          986          727 
701          454          316 


(5) 

348- 

121 


116  SECOND-YEAR    ARITHMETIC. 


(6) 

CO 

(8) 

(9) 

(10) 

789 

999 

889 

314 

525 

123 

456 

789 

112 

313 

(11) 

(12) 

(13) 

(14) 

(15) 

727 

93T 

555 

276 

992 

,516 

216 

321 

135 

301 

ADDITION. 

(16) 

(17) 

(18) 

(19) 

(20) 

756 

514 

259 

118 

376 

724 

136 

139 

108 

106 

124 

:   229 

298 

25(5 

156 

359 

158 

146 

'(31) 
515 

(22) 

777 

(23) 
315 

(24) 
139 

(25) 

277 

185 

137 

186 

278 

138 

275 

227 

227 

157 

154 

135 

157 

358 

356 

166 

(26) 

(27) 

(28) 

(29) 

(30) 

346 

864 

323 

416 

175 

271 

138 

96 

146 

126 

185 

27 

156 

277 

138 

96 

152 

274 

357 

427 

LESSON  LXXVI. 

1.  3 X 11+5 X 11+3 X  11=11  X  11=121  X 
:2.  2X11+5X11+5X11= 


SECOND-YEAK   TEXT-BOOK. 

3.  1X11+5X11+4X11= 

4.  2X11+3X11+4X11= 

5.  3X11+2X11+2X11= 

6.  3X10+5X10+4X10= 

7.  2X10+2X10+6X10= 

8.  3X10+2X10+6X10= 

9.  2X9+3X9+4X9= 

10.  3X9+4X9+2X9= 

11.  3X9+5X9+4X9= 

12.  2X9+1X9+2X9= 

13.  3X9+1X9+2X9= 

14.  3X9+4X9+5X9= 

15.  1X9+1X9+1X9= 

16.  2X9+3X9+2X9= 

17.  3X9+1X9+4X9= 

18.  3  X 12+3X12+6  Xl2=r 

19.  2X12+3X12+6X12=: 

20.  2X12+4X12+4X12=: 

21.  3X8+5X8+4X8= 

22.  2X8+2X8+1X8= 

23.  1X8+3X8+3X8= 

24.  3X8+4X8+4X8= 

25.  1X8+1X8+2X8= 

26.  2X8+3X8+5X8= 
yi.  1X8+2X8+3X8= 

28.  2X8+2X8+4X8= 

29.  3X8+3X8+3X8=. 


118  SECOND  YEAR   ARITHMETIC. 

SO.  5X7+2X7+3X7= 

31.  2x7+2x7+2x7= 

32.  1x7+3x7+5x7= 
S3.  3x7+2x7+2x7= 

34.  1X7+1X7+3X7= 

35.  3X7+2X7+3X7= 

36.  2X7+1X7+9X7= 

37.  1X6+3X6+8X6= 

38.  2X6+2X6+2X6= 

39.  3X6+4X6+4X6= 

40.  1X6+1X6+3X6= 

41.  3X6+3X6+4X6= 

42.  2X6+1X6+1X6= 

43.  2X6+3X6+4X6= 

44.  3X6+3X6+2X6= 

45.  2X6+4X6+1X6= 

46.  1X6+1X6+1X6= 

47.  2X5+4X5+6X5= 
4S.-3X5+3X5+4X5= 

49.  2X5+5X5+2X5= 

50.  1X5+3X5+3X5= 

•<51)   (52)   (53)   (54)   (55) 

•676  518  257  224  313 

138  186  138  138  97 

75  52  66  256  *  166 

43  143  127  .97  97 


SECOND-YEAR   TEXT-BOOK.  119 

LESSON  LXXYII. 

1.  What  will  9  oranges  cost  at  4  cts.  apiece? 
Ana.— They  will  cost  9X4  cts. •=  36  cts. 

2.  At  3  cents  each,  how  many  lemons  can  be 
bought  for  27  cts.? 

3.  How  many  days  in  6  weeks  ? 

4.  There  are  27  apples  on  one  tree  and  35 
apples  on  another  tree ;   how  many  apples   on 
the  two  trees  ? 

5.  Jennie  is  8  years  old  and  her  brother  is  13 
years  old  ;  how  much  younger  is  Jennie  than 
her  brother  ? 

6.  There  are  18  books  on  one  shelf,  12  books 
on  another  shelf,  and  8  books  on  another  shelf ; 
how  many  books  on  the  three  shelves  ? 

7.  James  ran   up   the   street   27  feet,   and 
George  ran  down  the  street  29  feet ;  how  many 
feet  did  both  run  ? 

8.  CCXXY=  20.  333= 

9.  CCCLXYIII=        21.  9X6+6X3= 

10.  CXCIII=  22.  8X7+7X5=: 

11.  CCCLXXXYI=     23.  9x4+6x11= 

12.  CXXXYII=  24.  7X5+8X3= 

13.  CCCXI=  25.  12X7+5X5= 

14.  275=  26.  8X3+9X7= 

15.  110=  27.  6X10+7X3= 

16.  138=  28.  8X4+7X7= 

17.  356=  29.  6X6+5X8= 

18.  129=  30.  7X11+11X3= 

19.  303= 


120  SECOND-YEAR    ARITHMETIC. 

LESSON  LXXY1II/ 


(6) 
273 
156 
124 
315 
166 

(11) 
246 
180 
135 
279 
13 

(16) 

356 

77 

136 

144 

66 


(2) 

(3) 

W 

(*) 

157 

316 

517 

6 

129 

66 

27 

28 

34 

156 

147 

155 

445 

26 

7 

274 

15 

136 

167 

30 

(7) 

(8) 

(9) 

(10) 

337 

515 

726 

123 

258 

75 

35 

456 

164 

136 

.  184 

178 

3 

46 

126 

190 

127 

128 

134 

12 

(12) 

(13) 

(14) 

(15) 

155 

356 

404 

224 

126 

127 

110 

136 

138 

134 

167 

929 

124 

9 

138 

30 

433 

126 

59. 

56 

CW) 

(18) 

(19) 

(20) 

135 

515 

276 

135 

279 

125 

136 

279 

136 

64 

54 

66 

66 

133 

327 

5 

75 

52 

96 

84 

SECOND- YEAR    TEXT-BOOK.  121 

LESSON  LXXIX. 

1.  9X9+7X7=130X1. 

2.  10X7+6X8=  14.  9X9+5X7= 

3.  7X7+5X9=  15.  7x6+5x8= 

4.  8X8+3X11=  16.  CLXXIX= 

5.  12x7+5x5=  17.  CGXIY= 

6.  6x9+8x7=  18.  CCCIII= 

7.  9X8+5X6=  19.  CCXLYI= 

8.  5X7+6X8=  20.  CCCXXXI= 

9.  9X9+8X8=  21.  175= 

10.  10X7+6X5=  22.  283= 

11.  9X5+5X9=  23.  116=  • 

12.  8X8+5X5=  24.  129= 

13.  12X7+6X4=  25.  301= 

26.  7X1+5X1+6X1+8X1+10X1+7X1  = 

43X1. 

27.  5X1+7X1+6X1+7X1+11X1+9X1= 

28.  8X1+6X1+7X1+5X1+9X1+8X1= 

29.  11 X 1  +  11  X  1  +6X1  +  8X1  +  7X1  + 

6X1=    • 

30.  9X1+9X1+8X1+8X1+7X1+7X1= 

31.  9X1+6X1+9X1+7X1+9X1+6X1= 

32.  8X1+8X1+6X1+5X1+7X1+7X1= 

33.  9X1+9X1+7X1+6X1+7X1+6X1= 

34.  11  x  1+7X1 +  6x1  + 8  X  1  +  7x1  + 

10X1=       . 

35.  5X1+8X1+5X1+8X1+5X1+8X1= 


122  SECOND- YEAK     ARITHMETIC. 

36.  7X1+8X1+9X1+6X1+7X1+8X1= 

37.  6X1+7X1+8X1+6X1+7X1+8X1= 

38.  5X1+7X1+7X1+5X1+10X1+9X1= 

39.  11X1+8X1+6X1+7X1+6X1+8X1= 

40.  9X1+4X1+8X1+3X1+10X1+3X1  = 

LESSON  LXXX. 

1.  10X1+6X1+7X1+7X1+8X1+11X1= 

49X1. 

2.  9X1+6X1+9X1+3X1+8X1+7X1= 

3.  12*1+7x1+6x1+9x1+5x1+9x1= 

4.  11X1+7X1+6X1+7X1+6X1+4X1= 

5.  9X1+3X1+7X1+6X1+9X1+8X1= 

6.  7X1+7X1+8X1+8X1+7X1+8X1= 

7.  5X1+11X1+7X1+6X1+9X1+10X1= 

8.  10X1+6X1+5X1+8X1+7X1+8X1= 

9.  9X1+9X1+6X1+7X1+8X1+10X1= 

10.  8  X 1+8  xi+8x  1+7x1+7x1+7x1= 

11.  6X1+5X1+7X1+8X1+10X1+6X1= 

12.  9X1+11X1+6X1+10X1+7X1+8X1= 

13.  l:UX  1+7  X  1+6x1+8x1+10x1+6x1= 

14.  11X1+11X1+11X1+9X1+6X1+7X1= 

15.  12X1+7X1+6X1+7X1+9X1+6X1= 

(16)  (17)  (18)  (19)  (20) 

518  355  256  255  135 

164  156  75  138  135 

37  127  136  126  135 

286  138  58  .55  135 

55  156  144  74  135 


SECOND-YEAR   TEXT-BOOK.  123 


(21) 

(22) 

(23) 

(24) 

(25) 

160 

135 

300 

275 

227 

106 

153 

156 

64 

136 

127 

246 

183 

38 

155 

172 

264 

135 

57  * 

277 

55 

16 

26 

49 

138 

(26) 

(27) 

(28) 

(29) 

(30) 

138 

516 

516 

307 

276 

156 

186 

138 

170 

355 

275 

174 

128 

156 

128 

144 

146 

155 

49 

109 

109 

35 

24 

38 

190 

LESSON  LXXXI. 

1.  9X5+3X7+6X2=78X1 

2.  2X8+7X3+3X3= 

3.  9X7+6X4+4X2= 

4.  8X5+5X4+3X2= 

5.  6X6+5X5+4X4= 

6.  7X3+6X2+3X1= 

7.  7X7+5X6+2X2= 

8.  9X4+4X9+1X5= 

9.  6X8+5X6+3X3= 

10.  5X10+6X4+3X2= 

11.  9X4+3X7+6X2= 

12.  10X6+7X5+4X3= 

13.  8X7+3X4+5X3= 


124       *  SECOND-YEAR    ARITHMETIC. 

14.  7X7+5X9+3X3=: 

15.  11X4+4X8+2X2=: 

16.  6X8+7X5+5X1= 

17.  5X11+3X6+2X5:= 

18.  4X7+9X5+6X2=: 
».  9X8+7X5+3X4— 
20.  7X6+6X6+7X2= 

SUBTRACTION. 

(21)        (22)        (23)        (24)  (25) 

667        545        726        327  416 

324        301         314        116  300 

(26)  (27)  (28)  (29)  (30) 
955  515  766  118  355 
327  314.  354  116  243 

LESSON  LXXXII. 

(1)  (2)  (3)  (4)  (5)  (6) 

275  313  151  300  273  416 

136  164  76  101  155  185 

27  76  6  196  128  276 

254  6  3  248  142  149 

13  144  128  35  167  186 

(7)  (8)  (9)  (10)  (11)  (12) 

384  275  248  155  254  277 

126  146  136  109  145  .  485 

144  137  155  115  183  124 

186  128  144  176  176  445 

134  155  137  183  155  345 


SECOND-YEAR    TEXT-BOOK.  125 

13.  CCLXXXYIII=  20.  220= 

14.  CCCXLYII=  21.  101= 

15.  CYI=  22.  110= 

16.  CCCIY=  23.  219= 
IT.  CCXXII=    •  24.  363= 

18.  CCCXIII=  25.  177= 

19.  155= 

(26)  (27)  (28)  (29)  (30) 
584  729  936  636  721 
132  117  724  325  721 

LESSON  LXXXIII. 

1.  Kate  wrote  7  words,  of  6  letters  each,  on 
her  slate  ;    how   many  letters   did   she   write  ? 
Ans. — She  wrote  7X6  letters  which  are   42 
letters. 

2.  Lucy  wrote  16  words   on   her   slate,   and 
then  erased  7  of  them  ;  how  many  did  she  leave 
on  her  slate  ? 

3.  There  are  9  rounds  in  each  of  8  chairs ; 
how  many  rounds  in  the  8  chairs  ? 

4.  A  boy  had  18  marbles  and  lost  all  but  10 
of  them  ;  how  many  did  he'lo^e  ? 

5.  How  many  cents  in  one  dime,  and  a  quar- 
ter of  a  dollar  ? 

6.  How  many  cents  in  a  "  nickel,"  one  dime, 
and  a  three-cent  piece  ? 


126  SECOND-YEAR    ARITHMETIC. 

7.  How  many  months  in  5  years  ? 

8.  George  paid  5  cts.  a  quart  for  a  peck  of 
peas  ;  how  much  did  the  peas  cost  him  ? 

9.  12X1+8X1+6X1+7X1+6X1+8X1  + 

7X1=53X1. 
10.  11  X  1+10  X  1+9  X*1+8X  1+7X1+6X1+ 


11.  llXl+llXl+9Xl+HXl+6X 


12.  8X1+7X1+6X1+7X1  +  8X1+7X 

6X1= 

13.  9X1+8X1+6X1+7X1+HX1+9X1  + 

10X1= 

14.  11X1+5X1+7X1+8X1+6X1+7X1+ 

9X1= 

15.  8X1+7X1+6X1+11X1+7X1+6X 

5X1= 

16.  7X1+7X1+9X1+6X1  +  8X1+7X 

6X1= 

17.  10X1+9X1+7X1+6X1+7X1+5X 

6X1= 

18.  7X1+6X1+8X1+3X1+7X1+9X 

6X1= 

19.  8X1+8X1+5«X1+7X1+6X1+5X1+ 

5X1= 

20.  9X1+8X1+7X1+6X1+9X1  +  8X1+ 

7X1= 


SECOND-YEAR   TEXT-BOOK.  127 

• 

LESSON  LXXXIY. 

1.  3X9+4X9+3X9=10X9=90X1. 

2.  4X9+2X9+3X9= 

3.  2X9+3X9+3X9= 

4.  3X9+8X9+2X9= 

5.  2X9+1X9+3X9= 

6.  1x9+2x9+2x9= 

7.  3X12+4X12+5X12= 

8.  2X12+3X12+6X12= 

9.  2X12+4X12+4X12= 

10.  2X12+4X12+3X12= 

11.  4X12+2X12+2X12= 

12.  1X12+3X12+3X12= 

13.  2X12+3X12+1X12= 

14.  1X12+3X12+1X12= 

15.  1X12+1X12+2X12= 

16.  1X12+1X12+1X12= 

17.  3X11+3X11+6X11=: 

18.  2X11+7X11+2X11= 

19.  3X11+5X11+2X11= 

20.  2X11+3X11+4X11= 

21.  2X11+3X11+3X11= 

22.  1X11+4X11+2X11= 

23.  2X11+2X11+2X11= 

24.  1X11+1X11+2X11= 

25.  2X11+1X11+2X11=' 

26.  1X11+1X11+1X11= 


128  SECOND-YEAR    ARITHMETIC. 

• 

27.  3X8+1X8+1X8= 

28.  1X8+1X8+1X8= 

29.  2X8+1X8+1X8= 

30.  1X8+3X8+2X8= 

31.  2X8+4X8+^X8= 

32.  1X8+4X8+3X8= 

33.  2X8+3X8+4X8= 

34.  3X8+3X8+4X8= 

35.  4X8+4X8+3X8= 

36.  3X8+7X8+2X8= 

37.  3X8+1X8+2X8= 

38.  3x7+2x7+2x7= 

39.  2x7+3x7+4x7= 

40.  2x7+1x7+3x7= 

41.  1x7+2x7+1x7=  • 

42.  2X7+1X7+2X7= 

43.  3X7+2X7+3X7= 

44.  4x7+2x7+5x7= 

45.  3x7+3x7+4x7= 

46.  2X7+2X7+8X7= 

47.  3X6+3X6+3X6= 

48.  4X6+4X6+4X6= 

49.  2X6+2X6+2X6= 

50.  1X6+1X6+1X6= 

LESSON  LXXXY. 

1.  9X7+8X6=111X1.   3.  9X6+8X5: 

2.  7X8+7X7=       4.  7x7+6x6: 


SECOND- YEAR   TEXT-BOOK. 


129 


5.  10X6+5X8= 

6.  7X9+6X7:= 

7.  5X9+8X7= 

8.  10X9+7X5= 

9.  5X7+9X6= 
10.  8X8+8X4= 

11.  6X9+7X3= 

12.  9X7+5X6= 


(21) 

658 

134: 

76 

93 

9 


(22) 
518 

77 
326 

94 
138 


(23) 
275 
138 
197 
66 
154 


13.  8X8+7X4= 

14.  9x3+10x7= 

15.  8X5+5X8= 

16.  7x7+6x5= 

17.  8x6+5x9= 

18.  7X9+6X8= 

19.  8X8+7X5= 

20.  9X4+8X6= 


(24) 
313 
186 
154. 

75 
36 


(25) 

212 

154 

89 

37 

16 


(26) 

313 

185 

9 

164 
133 


(27) 
345 
127 
177 
155 
144 


(28) 
512 

76 
138 

54 
125 


(29) 
115 
151 

76 
133 

45 


(30) 
524 

66 
138- 

27 
115 


LESSON  LXXXYI. 

1.  7x7+3x6+5x2=77x1. 

2.  6X5+8X4+2X3= 

3.  7x7+5x5+1x6= 

4.  10X4+3X8+2X5= 


• 


130  SECOND-YEAR    ARITHMETIC. 

5.  9X6+5X7+3X3— 

6.  7X11+6X5+4X4= 

7.  8X7+5X9+6X3= 

8.  9X7+3X5+4X4= 

9.  5X8+7X3+6X2= 

10.  6X6+4X8+5X3= 

11.  9X9+2X6+2X2= 

12.  11X3+3X11+11X3= 

13.  12X5+4X4+3X3= 
14.^7X6+5X3+4X2= 

15.  9X4+6X6+3X5= 

16.  8X4+9X3+2X2= 

17.  7X6+10X4+5X5= 

18.  8X7+7X3+3X4= 

19.  9X6+6X5+3X5= 

20.  8X7+10X4+3X3= 

21.  11X1+6X1+7X1+5X1+8X1+7X1+ 

5X1=49X1. 

22.  9  X  1+5X  1+9X1+5X1+9X1+5X1+ 

9X1= 

23.  6X1  +  6X1+7X1+7X1+6X1+6X1+ 

7X1= 

24.  5X1  +  8X1+6X1+7X1+6X1+3X1+ 

8X1= 

25.  11X1+11X1+6X1+7X1+6X1+7X1+ 

5X1= 

26.  8X1  +  8X1+4X1+9X1+6X1+7X1+ 

6X1= 


SECOND-  YEAR   TEXT-BOOK.  131 


27.  10Xl+8xl+10Xl+6Xl+10X 

1+10x1= 

28.  13X1+5X1+7X1+6X1+5X1+8X1+ 

7X1= 

29.  8X1+3X1+7X1+5X1+6X1+9X1+ 

3X1= 

30.  10  X  1+6X1+8X1+7X1+5X1+4X1+ 

10X1= 

31.  8X1+7X1+6X1+5X1+4X1+11X1+ 

11X1= 

32.  5X1+10X1+7X1+5X1+7X1+7X1+ 

8X1= 

LESSON  LXXXYII. 


336 

186- 


(1) 

(2) 

(3) 

W 

(*) 

346 

415 

326 

276 

516 

124 

96 

184 

138 

134 

155 

138 

175 

155 

128 

278 

27 

124 

274 

175 

163 

153 

345 

138 

116 

176 

196 


CO 

(8) 

(9) 

(10) 

(11) 

215 

335 

123 

246 

116 

55 

446 

456 

189 

118 

218 

77 

87  ' 

137 

119 

46 

88 

9 

155 

117 

137 

9 

12 

54 

115 

444 
444 
444 
444 

444: 


'132  BECOND-YEAK    ARITHMETIC. 

13.  8X7+3X6+2X5=84X1. 

14.  9X4+7X4+6X8= 

15.  7X7+5X6+3X3= 

16.  10X4+3X5+2X6= 

17.  6X5+4X3+2X1=: 

18.  10X3+9X2+12X1= 

19.  8X5+5X6+5X2= 

20.  6X7+3X11+4X4= 

21.  James  has  8  cts.  and  John  has  3  times  as 
many  cents,  how  many  cents  has  John  ? — Ans. 
.John  has  3x8  cts.  which  are  24  cts. 

22.  There  are  12  cts.  in  each  of  6  piles,  how 
many  cents  in  all  ? 

23.  If  one  chair  has  four  legs,  how  many  legs 
have  12  chairs  ? 

24.  There  are  five  rows  of  seats  in  the  room 
rand  9  seats  in  each  row  ;  how  many  seats  in  the 
jrooms  ? 

25.  If  one  sky-rocket  cost  7  cts.  what  will  12 
risky-rockets  cost  ? 

LESSON  LXXXYIII. 

1.  11X1+10X1+9X1+8X1+7X1+6X1=: 

51X1. 

2.  11X1  +  11X1+10X1  +  10X1+9X1+ 

9X1= 

3.  12  X  1  +  11X1  +  10X1+9X1  +  8X1+ 

7X1= 


SECOND-TEAR   TEXT-BOOK.  13S- 

1  +  10X1+6X1+ 


5.  9X1  +  7X1  +  11  X  1+8X1+HX1+ 

12X1= 

6.  5X1+9X1+8X1+6X1+12X1+6X1= 

7.  11  X  1  +  11X1+12X1+13X1+9X1+ 

7X1= 

8.  12  X  1  +  12  X  1+8X1+7X1+12X1+ 

11X1= 

9.  9X1+6X1+8X1+11X1+7X1+10X1= 

10.  11X1+8X1+6X1+9X1+9X1+9X1= 

11.  8X1+8X1+6X1+6X1+11X1+12X1= 

12.  12X1  +  7X1+12X1  +  6X1  +  10X1  + 

10X1= 

13.  13X1+14X1+9X1+6X1+8X1+9X1= 
H.  Uxl  +  14:Xl  +  7xl+8Xl+llXl+ 

7X1= 

15.  15X1  +  15X1+10X1+6X1+7X1+ 

5X1= 

16.  16  X  1  +  16  X  1  +  5  X  1+9X1+5X1  + 

10X1= 

17.  17.X  1+  16  X  1  +  8X1+HX1+7X1+ 

6X1= 

18.  18X1+14X1+9X1+7X1+6X1+5X1= 

19.  12X1+16X1+7X1+5X1+8X1+8X1= 

20.  8X1  +  7X  1+15X  1  +  15  X1  +  6X1+- 

11X1= 


134  SECOND-YEAK    ARITHMETIC. 

21.  64=  31.  XXY= 

22.  87=  32.  CLXXXIX= 

23.  29=  33.  CCLXYI= 

24.  56=  34.  CC£LXXIY= 

25.  43=  35.  CXLY= 

26.  95=  36.  CCL= 

27.  72=  37.  CCCXXXI= 

28.  38=  38.  CI= 

29.  21=  39.  CCII= 

30.  19=  40.  CCCIII= 

LESSON  LXXXIX. 

NOTE. — Teach  the  pupils  to  write  numbers  from  10,000 
to  20,000  inclusive. 


(1) 

(2) 

(3) 

(4) 

1,081 

2,006 

3,030 

1,826 

1,250 

1,816 

1,861 

180 

8,006 

1,201 

275 

1,920 

151 

1,010 

1,486 

2,510 

39 

376 

725 

1,341 

(5) 

(6) 

CO 

(8)' 

2,000 

1,876 

4,500 

3,510 

1,800 

2,500 

1,800 

1,867 

3,501 

1,008 

1,080 

2,518 

184 

2,500 

1,008 

1,675 

2,599 

1,005 

'  1,285 

865 

SECOND-YEAR   TEXT-BOOK.  135 

9.  6X8+7X5+4X3=95X1- 

10.  2x9+8x6+3x3= 

11.  9X9+6X3+2X2= 

12.  8X3+7X7+1X11= 

13.  12X12+3X3+12X1= 

14.  6X6+4X5+2X5= 

15.  2X3+8X7+3X5= 

16.  4X5+6X6+5X5= 

17.  9X7+5X5+6X1= 

18.  8X6+7X2+7X3= 

19.  11X11+8X1+2X5= 

20.  10x9+6x4+9x2= 

21.  7X7+3X3+9X3= 

22.  6X3+4X4+2X2= 

23.  8X12+6X5+5X5= 

24.  7X6+4X8+6X3= 

25.  3X3+7X5+3X3= 

26.  2X5+3X4+12X8= 
27/12x7+2x9+10x3= 

28.  3X6+4X4+2X5= 

29.  8X5+8X6+9X5= 

30.  9X4+7X5+10X1= 

LESSON  XC. 

(2)  (3)         (4)  (5)         (6) 

1,516  2,567  3,065  2,595  1,156 

1,278  3,167  1,755  1,706  2,676 

3,629  1,207  2,110  3,055  1,356 

2,596  1,507  3,065  1,164  1,406 

1,717  1,317  1,376  2,002  3,009 


136  SECOND-YEAR    ARITHMETIC. 

SUBTRACTION. 

(7)             (8)            (9)            (10)  (11) 

3,765       4,456       7,518       6,554  5,567 

2,154      3,120       1,316       3,121  3,254 


(12) 

(13) 

(14) 

(15) 

4,567 

7,756 

2,918 

3,333 

3,367 

3,054 

1,617 

1,230 

16.  5X5+8X3+7X2=63X1. 

17.  6X7+3X5+3X3= 

18.  9X5+8X2+4X4= 

19.  11X3+3X11+3X2= 

20.  7X7+6X3+4X1= 

21.  8X7+5X5+3X3= 

22.  10X7+7X4+4X2= 

23.  8X7+6X5+3X2=   » 

24.  9X6+4X6+5X2= 

25.  5X9+8X7+6X1= 

LESSON  XCI. 

1.  James  ran  13  feet  up  the  walk  and  then 
ran  back ;  how  many  feet  did  he  run  ? — Ans.  He 
ran  26  feet. 

2.  There  are  12  panes  of  glass  in  each  of  five 
windows ;  how  many  panes  of  glass  in  all  ? 

3.  George  ate  3  apples  a  day  for  seven  days ;, 
how  many  apples  did  he  eat  ? 


SECOND-YEAR   TEXT-BOOK.  ,         137 

4.  I  bought  3  Roman  candles  at  7  cts.  each, 
and  2  sky-rockets  at  6  cts.  each  ;  how  much  did 
I  pay  for  all  ? 

5.  Carrie  had  9  sticks  of  candy  ;  she  ate  4  of 
them  ;  how  many  had  she  left  ? 

6.  5X8+6X7+3X3= 

7.  9X5+8X7+4X2=. 

8.  8X7+3X6+5X3= 

9.  9X4+4X9+3X2= 
10.  7X8+5X6+2X4= 

'11.  6X7+5X5+7X2= 

12.  8X5+7X4+3X3= 

13.  9X6+3X6+5X3= 

14.  8X8+3X5+4X2= 

15.  7X5+8X4+4X4= 

16.  10X5+5X8+3X3= 

17.  6x7+5x7+4x3= 

18.  9X3+3X8+7X2= 

19.  6x5+5x7+4x5= 

20.  10x7+5x5+8x1= 

21.  6X7+7X5+3X7= 

22.  9x4+4x8+3x3= 

23.  8X10+3X5+10X2= 

24.  7X6+6X7+4X4= 

25.  8X5+9X4+3X5= 


138  SECOND-YEAR     ARITHMETIC. 

LESSON  XCII. 

1.  3X12+3X12+2X12=8X12= 

96X1. 

2.  2X12+5X12+2X12:=: 

3.  3X12+2X12+1X12= 

4.  3X12+4X12+2X12= 

5.  2X12+1X12+1X12=: 

6.  2 X 12+4 X. 12+6x12= 

7.  1X12+1X12+1X12= 

8.  2X12+4X12+4X12= 

9.  1X12+1X12+2X12= 

10.  3X12+3X12+5X12= 

11.  1X12+1X12+10X12= 

12.  2X11+3X11+3X11= 

13.  1X11+3X11+1X11= 

14.  lxll+3xll+txll= 

15.  1X11+1X11+1X11= 

16.  1X11+7X11+4X11= 

17.  2X11+2X11+2X11= 

18.  3X11+4X11+3X11= 

19.  2X11+5X11+2X11= 

20.  3X11+5X11+4X11= 

21.  1X10+5X10+6X10= 

22.  2X10+3X10+6X10= 

23.  2X10+5X10+3X10= 

24.  3X10+3X10+3X10= 

25.  2X10+1X10+2X10= 


SECOND-YEAR   TEXT-BOOK.  139 

26.  2X10+3X10+2X10= 

27.  2X10+2X10+2X10= 

28.  1X10+2X10+2X10= 

29.  2X10+1X10+1X10= 

30.  1X10+1X10+1X10= 

31.  3X9+3X9+3X9= 

32.  2X9+3X9+6X9= 

33.  3X9+2X9+2X9= 

34.  2X9+2X9+1X9= 

35.  1X9+1X9+1X9= 

36.  3X9+3X9+6X9= 

37.  2X9+3X9+5X9=: 

38.  3X9+3X9+2X9= 

39.  1X9+3X9+2X9= 

40.  1X9+1X9+2X9= 

41.  1X8+1X8+1X8= 

42.  2X8+2X8+2X8= 

43.  3X8+3X8+3X8^ 

44.  4X8+4X8+4X8= 

45.  2X8+2X8+1X8= 

46.  3X8+2X8+3X8= 

47.  4X8+4X8+3X8=: 

48.  1X8+2X8+1X8= 

49.  3X8+2X8+2X8= 

50.  2X8+4X8+4X8= 

51.  2X7+3X7+^X7= 

52.  3X7+3X7+1X7= 


140  SECOND-YEAR    ARITHMETIC. 

53.  2x7+3x7+4x7= 

54.  1x7+1x7+3x7= 

55.  2x7+3x7+3x7= 

56.  2x7+3x7+5x7= 

57.  1x7+3x7+1x7= 

58.  2X7+1X7+3X7= 

59.  3X7+3X7+6X7= 

60.  1X7+2X7+8X7= 

LESSON  XCIII. 

NOTE. — Teach  the  pupils  to  write  numbers  from  20,000 
to  100,000. 

(1)          (2)         (3)          (4)         (5)          (6) 

2,765  3,461  2,514  3,375  2,766  3,756 

1,384  1,275  1,446  1,416  1,273  1,356 

1,276  1,356  1,375  1,275  1,814  2,646 

4,535  1,207  1,296  1,046  1,564  3,776 

~~iT 

SUBTRACTION. 

CO  (8)  (9)          (10)          (11) 

35,159     76,384     95,937     65,764     55,016 
14,127     15,123     12,713     14,133     14,013 


(12)    (13)    (14)    (15)    (16) 

84,726  54,867  96,376  84,778  64,726 
13,613  13,725  72,136  13,166  13,615 


SECOND-YEAR   TEXT-BOOK.  * 

(17)  (18)  (19)  (20) 

29,765        55,725        58,909  37,376 

18,134        13,613         13,606  16,136 


LESSON  XCIY. 

1.  11X1+6X1+7X1+5X1+8X1+6X1+ 

7X1=50X1. 

2.  13X1+5X1+6X1+7X1+8X1+9X1+ 

10X1= 

3.  7X1+7X1+7X1+6X1+6X1+6X 

5X1= 

4.  8X1+8X1+7X1+7X1+6X1  +  6X 

4X1= 

5.  3X1+11X1+7X1+9X1+6X1+7X1+ 
7X1= 

6.  7X1+5X1+8X1+4X1+9X1+3X1+ 

7X1= 

7.  6X1+7X1+5X1+8X1+7X3+9X1+ 

6X1= 

8.  9X1+7X1+6X1+7X1+6X1+5X 

4X1= 

9.  3X1+8X1+7X1+9X1+7X1  +  8X 

7X1= 

10.  9X1+7X1+6X1+5X1+7X1+9X1+ 
9X1= 

11.  10X1  +  5X1+9X1+7X1+9X1+7X1 
+9X1= 


142  SECOND-YEAR    ARITHMETIC. 

12.  9X1+7X1+6X1+8X1+5X1+4X1+ 
7X1= 

13.  10X1+9X1+8X1+7X1+6X1+5X1 


14.  8X1+7X1+6X1+7X1+5X1+7X1+ 
7X1= 

15.  7X1+8X1+6X1+7X1+7X1+6X1+ 
5X1= 

16.  6X1+7X1+5X1+5X1+7X1+6X1+ 
7X1= 

17.  5X1+9X1+8X1+7X1+6X1+7X1+ 
10X1= 

18.  8X1+7X1+8X1+7X1+8X1+7X1+ 

8X1  = 

19.  5X1+5X1+5X1+6X1+6X1+7X1+ 
7X1= 

20.  8X1+8X1+9X1+9X1+7X1+7X1+ 
11X1= 

21.  146=  31.  CXXI= 

22.  127=  32.  CCXXXYII1= 

23.  284=:  33.  CLXY= 

24.  135=  34.  CCCLXIY= 

25.  326=  35.  CLXXXYI= 

26.  153=  36.  CCX1X= 

27.  278=  37.  CXYI= 

28.  166=  38.  CCLXXIII= 

29.  202=  39.  CCCLXI= 

30.  135=  40.  CXCYII= 


SECOND-TEAK   TEXT-BOOK.  143 

LESSOJST  XCY. 

1.  3X11+4X5+6X2=65X1. 

2.  7X5+5X7+3X6= 

3.  9X4+7X5+6X3= 

4.  10X7+7X6+5X4= 

5.  9X5+7X4+6X6= 

6.  8X3+2X7+5X3= 

7.  9X6+3X9+4X4= 

8.  11x7+6x6+5x5= 

9.  9X9+6X3+3X3= 

10.  5X8+6X5+7X2= 

11.  6X6+3X8+10X2= 

12.  12X3+5X7+8X3= 

13.  6X7+5X4+9X3=. 
'14.  8X5+7X7+6X3= 

15.  3X7+5X5+8X6= 

16.  9X7+6X5+3X4= 

17.  2X8+7X6+9X7= 

18.  6X3+3X9+5X5= 

19.  9X9+5X5+4X4= 

20.  8X7+7X6+3X8= 

21.  3X6+3X6+3X6= 

22.  2X6+3X6+1X6= 

23.  1X6+3X6+6X6= 

24.  2X6+1X6+1X6= 

25.  1X6+1X6+1X6= 

26.  3X6+2X6+3X6= 


144  SECOND-YEAR   ARITHMETIC. 

27.  2X6+2X6+3X6= 

28.  3X6+4X6+5X6:= 

29.  1X6+2X6+2X6= 

30.  3X8+2X8+4X8= 

31.  1X8+3X8+3X8= 

32.  2X8+3X8+7X8= 

33.  1x8+5x8+2x8= 

34.  3X8+1X8+2X8= 

35.  3X8+5X8+3X8= 

LESSON  XCVI. 

1.  James  paid  12  cts.  for  a  book,  8  cts.  for  a  slate 
and  6  cts.  for  an  eraser ;  how  much  did  he  pay  for 
all  ?— Ana.  He  paid  26  cts.  for  all. 

2.  If  one  book  cost  8  cts.,  what  will*i*2  books 
cost? 

3.  At  9  cts.  each,  what  will  8  slates  cost? 

4.  A  boy  sold  16  papers  one  day,  24  papers 
the  next  day,  and  17  papers  the  next  day ;  how 
many  papers  did  he  sell  during  the  three  days  ? 

5.  If  seven  boya  have  12  marbles  each,  how 
many  marbles  have  they  all  ? 

6.  3X9+1X9+1X9=5X9=45X1. 

7.  1X9+3X9+5X9= 

8.  2X9+3X9+2X9= 

9.  1X9+1X9+1X9= 
10.  3X9+4X9+4X9= 


SECOND-YEAR    TEXT-BOOK  145 

11.  1X9+2X9+1X9= 

12.  2X9+2X9+2X9= 

13.  3  X  9+2X9+3x9= 

14.  2X9+3X9+5X9= 

15.  4X9+4X9+4X9=3 

16.  1X9+3X9+6X9= 

17.  3X10+4X10+4X10= 

18.  4X10+3X10+3X10= 

19.  3X10+4X10+5X10= 

20.  1X11+2X11+3X11= 

21.  2X11+3X11+4X11= 

22.  3X11+4X11+5X11= 

23.  2X11+3X11+5X11= 

24.  3xli+4Xll+4XH= 

25.  2X11+3X11+1X11= 

26.  3X12+3X12+3X12= 

27.  4X12+4X12+4X12= 

28.  2X12+2X12+2X12= 

29.  1X12+1X12+1X12= 

30.  2X12+3X12+6X12= 

31.  1X12+1X12+2X12= 

32.  3X12+3X12+2X12= 

33.  1X12+3X12+1X12= 

34.  3X12+3X12+4X12= 

35.  3X12+1X12+3X12= 

36.  2X8+2X8+1X8= 

37.  1X8+1X8+2X8= 


146  SECOND-YEAR     ARITHMETIC. 

38.  3X8+1X8+4X8= 

39.  1X8+1X8+1X8= 

40.  2X8+1X8+3X8= 

LESSON  XCYII.    * 


(1) 

(2) 

(3) 

(4) 

(*) 

(6) 

27,643 

45,434 

31,376 

54,733 

21,212 

17,255 

15,129 

12,776 

15,184 

26 

13,867 

26,736 

12,434 

13,504 

2,733 

13,182 

3,555 

355 

22,376 

33,596 

24,618 

22,735 

21,746 

18,274 

13,855 

7,215 

755. 

3,146 

313 

1,164 

P) 

(8) 

(9) 

(10) 

(11) 

(12) 

35,124 

25,737 

35,346 

358 

35,186 

42,285 

13,762 

18,166 

726 

1,468 

724 

9,873 

254 

365 

1,366 

27,118 

3,294 

766 

12,918 

2,738 

24,516 

2,538 

12,736 

95 

356 

515 

276 

24,678 

53,273 

8 

SUBTRACTION. 

(13) 

(14) 

(15) 

33,765 

27, 

667 

59,676 

12,413 

14, 

324 

18,125 

LESSON  XCYIII. 

1.  7X7+6X5+3X3=88X1. 

2.  9X8+7X6+2X3= 

3.  8X8+6X6+2X2= 


SECOND-YEAR   TEXT-BOOK.  147 

4.  5X7+7X5+3X4= 

5.  6X9+8X4+5X2= 

6.  7X7+6X6+3X3= 

7.  9X8+5X5+2X3= 

8.  6X6+7X7+3X4= 

9.  10X7+6X4+2X5= 

10.  8X9+5X7+3X2= 

11.  12X1+11X1+10X1+9X1+8X1+7X 

1=57X1. 

12.  10  X  1+11  X  1+6  X  1+7  X  1+8  X  1+6  X  1= 

13.  11X1  +  12X1  +  11X1+6X1+10X1+ 

10X1= 

14.  12X1  +  12X1+9X1+10X1+7X1+ 


15.  9  X  1  +  8  X  1  +  10  X  1+11  X  1  +10  X  1+ 

6X1= 

16.  11  X  1  +  10  X  1  +  11  X1+8X  1+7X1+ 

8X1= 

17.  8X1+8X1+8X1+8X1+8X1+8X1= 

18.  9X1+9X1+9X1+9X1+9X1+9X1= 

19.  10X1  +  10X1+10X1+10X1+10X1+ 

10X1= 

20.  7X1+7X1+7X1+7X1+7X1+7X1= 

21.  11X1  +  11  X  1  +  10X1+10X1+9X1+ 

9X1= 

22.  8X1+8X1+7X1+7X1+6X1+6X1= 

23.  9X1+8X1+7X1+9X1+8X1+7X1= 


148  SECOND-YEAR    ARITHMETIC. 

24.  10X1  +  10X1  +  8X1+7X1+11X1+ 

7X1= 

25.  &X1+12X1  +  8X1  +  12X1+8X1-4- 

12X1= 

LESSON  XCIX. 

1.  9X5+5X9+3X4=102X1. 

2.  8X6+7X5+3X3= 

3.  10X7+8X6+2X3= 

4.  9X5+8X8+3X3= 

5.  7X11+6X7+2X2= 

6.  8X7+7X8+3X1= 

7.  9X7+11X3+1X8= 

8.  8X5+6X7+5X2= 

9.  9X9+6X6+2X2= 

10.  8X7+7X5+3X3= 

11.  James  has  12  cts.  and  Mary  has  8  times  as 
many  cents  ;  how  many  cents  has  Mary  ? — Ans. 
Mary  has  8x12  cts.  which  are  96  cts. 

12.  George  had  18  marbles  and  lost  7  of  them  ; 
Low  many  had  he  left  ? 

13.  There  are  7  rows  of  trees  in  an  orchard, 
and  9  trees  in   each  row ;  how  many  trees  in 
the  orchard  3 

14.  Lucy  bought  3  quarts  of  peanuts  at  10  cts. 
per  quart,  and   4  ounces   of  candy  at  3  cts.  per 
ounce  ;  how  much  money  did  she  spend  ? 


SECOND-YEAR   TEXT-BOOK.  149 

15.  A  boy  ran  up  the  walk  16  feet,  and  then 
ran  back  ;  how  many  feet  did  he  run  ? 

LESSON  C. 

1.  7X12+2X12+3X12=12X12=144X1. 

2.  2X12+2X12+2X12= 

3.  1X12+1X12+1X12=: 

4.  2X12+3X12+4X12= 

5.  1X12+5X12+1X12= 

6.  2X11+3X11+5X11=: 

7.  2X11+2X11+8X11= 

8.  1X11+1X11+9X11= 

9.  5X10+4X10+3X10= 

10.  3X10+2X10+1X10= 

11.  4X10+3X10+2X10= 

12.  1X9+1X9+1X9= 

13.  2X9+2X9+1X9= 

14.  1X9+1X9+5X9= 

15.  2X9+1X9+6X9= 

16.  1X9+1X9+9X9= 

17.  2X9+1X9+1X9= 

18.  2X9+1X9+3X9= 

19.  1X9+1X9+6X9= 

20.  2X9+1X9+7X9= 

21.  1X9+1X9+10X9= 

22.  2X8+1X8+1X8= 

23.  3X8+1X8+5X8= 


. 


150  SECOND-YEAK    ARITHMETIC. 

24.  2X8+1X8+5X8= 

25.  6x7+2x7+2x7= 

26.  1x7+2x7+9x7=: 

27.  2x7+1x7+5x7= 

28.  1X6+3X6+3X6= 

29.  2X6+1X6+3X6= 

30.  3X6+2X6+5X6= 

31.  1X6+2X6+9X6= 

32.  2X5+2X5+3X5= 

33.  1X5+2X5+7X5= 

34.  3X5+4X5+2X5= 

35.  7X6+3X8+9X5= 

36.  4X8+8X6+3X6:= 

37.  7X9+6X6+4X4= 

38.  5X11+11X5+2X3= 

39.  11X6+3X8+4X4= 
.  40.  5X9+5X5+3X7= 

41.  9X6+6X5+7X3= 

42.  9X8+7X6+5X5= 

43.  8X11+3X11+5X3= 

44.  10X3+3X12+4X4= 


SECOND- YEAR    TEXT-BOOK.  151 

LESSON  CI. 

1.  3X12+4X12+5X12=12X12=144X1. 

2.  3X12+3X12+3X12=: 

3.  2X12+5X12+4X12= 

4.  2X12+2X12+2X12=: 

5.  3X12+4X12+3X12=: 

6.  1X12+2X12+1X12= 

7.  3X12+4X12+3X12= 

8.  2X12+1X12+2X12=: 

9.  3  X 12+2  X  12+3x12= 

10.  2X12+3X12+2X12= 

11.  1X12+1X12+1X12=: 

12.  3X11+3X11+3X11= 

13.  2X11+3X11+7X11= 

14.  1X11+3X11+4X11= 

15.  4X11+4X11+3X11= 

16.  3X11+3X11+4X11= 

17.  2X10+3X10+6X10= 

18.  3X10+3X10+6X10= 

19.  3X9+4X9+2X9= 

20.  2X9+3X9+2X9= 

21.  3X9+5X9+3X9= 

22.  1X9+1X9+1X9= 

23.  1X9+2X9+2X9= 

24.  3X9+6X9+3X9= 

25.  2X9+3X9+5X9= 

26.  3X9+2X9+3X9= 


152  SECOND-YEAR     ARITHMETIC. 


27.  2X9+1X9+3X9= 

28.  1X9+2X9+1X9= 

29.  3X8+2X8+1X8= 

30.  3X8+3X8+4X8= 

31.  2X8+4X8+2X8= 

32.  1X8+2X8+1X8= 

33.  4X8+4X8+4X8= 

34.  3X8+2X8+4X8= 

35.  2X8+3X8+2X8= 

36.  3X8+1X8+1X8= 

37.  1X8+1X8+1X8= 

38.  2X8+5X8+4X8= 

39.  3x7+5x7+4x7= 

40.  2x7+3x7+6x7= 

(41). 

(42)    (43)    (44) 

(45) 

37,625 

23,356  57,276  27,356 

3,354 

8,173 

9,275    946    356 

12,726 

12,154 

3,864   3,136  35,417 

35,187 

2,345 

376  12,326  34,163 

3,662 

14,456 

35    256   2,562 

15,276 

LESSON  GIL 

1.  2x7+3x7+2x7=7x7=49x1. 

2.  3x7+2x7+5x7= 

3.  2x7+1x7+1x7= 

4.  3x7+3x7+5x7= 

5.  2X7+1X7+2X7= 


SECOND-YEAR   TEXT-BOOK.  153 

6.  3X7+1X7+4X7=: 

7.  1x7+1x7+1x7= 

8.  3X7+2X7+7X7= 

9.  1x7+3x7+5x7= 

10.  2x7+2x7+1x7= 

11.  1x7+3x7+2x7= 

12.  1X6+1X6+1X6= 

13.  2X6+2X6+2X6= 

14.  3X6+3X6+3X6= 

15.  4X6+4X6+4X6= 

16.  2X6+1X6+1X6= 

17.  3X6+2X6+2X6= 

18.  2X6+2X6+6X6= 

19.  3X6+1X6+1X6= 

20.  2X6+3X6+3X6= 

21.  3X6+3X6+5X6= 

22.  2X5+1X5+2X5= 

23.  3X5+4X5+3X5= 

24.  1X5+1X5+4X5= 

25.  2X5+5X5+4X5= 

26.  3X5+1X5+3X5= 

27.  1X5+4X5+7X5= 
28.^1X5+1X5+2X5= 
29.*3X5+2X5+3X5= 

30,  2X5+3X5+4X5= 

31.  2X5+2X5+3X5= 


154  SECOND-YEAR  ARITHMETIC. 


(32) 

(33) 

(34) 

(35) 

26,416 

35,165 

40,004 

37,276 

18,375  . 

815 

40,040 

676 

214 

20,006 

40,400 

54,318 

64 

3,725 

4,444 

296 

9 

95 

4,544 

58 

36.  2X0+3X0+5X0= 

37.  6X0+4X0+3X0= 

38.  4X0+3X0+3X0= 

39.  5x5+6x5+4x5= 

40.  7x5+5x5+8x5= 

41.  6X5+8x5+7x5= 
42. 

43. 
44. 
45. 


LESSON  CIII. 

NOTE.  —  The  children  are  to  be  taught  to  make  figui 
from  100,000  to  1,000,000. 

1.  7X9+8X6+5X3=126X1. 

2.  9X9+6X6+3X3= 

3.  8X11+9X5+3X2= 

4.  10X8+7X6+4X3= 

5.  9X7+7X7+2X2= 

6.  8X8+6X6+4X2= 

7.  7X11+7X5+5X2= 


SECOND-YEAR   TEXT-BOOK.  155 

8.  9X8+6X7+3X2= 

9.  6X11+7X11+2X2= 

10.  7X7+6X7+5X3= 

11.  8X8+5X5+4X4= 

12.  9X6+6X5+3X3= 

13.  11x7+5x8+2x4= 

14.  8X11+8X5+3X4= 

15.  7X7+6X6+5X5= 

16.  376=        21.  CCXCYI= 

17.  118=        22.  CLXIY= 

18.  202=        23.  CCCLXXXIX= 

19.  445=         24.  CCLXIII= 

20.  127=         25.  CX1X= 

(26)    (27)    (28)    (29)    (30) 
37,676  55,876  580,968  76,986  83,818 
16,626  13,325  130,154  36,985  81,116 


LESSON   CIY. 

1.  11X1+11X1+6X1+8X1+7X1+5X1+ 

4X1=52X1. 

2.  10X1+8X1+11X1+9X1+8X1+7X1+ 


3.  Hxl+llXl+llXl+llXl  +  ll 

xi+iixi= 

4.  10X1+7X1+6X1+8X1+7X1+9X 

5X1= 


156  SECOND-YEAR    ARITHMETIC. 

5.  6X1+8X1+5X1+9X1+11X1+7X1+ 

10X1  = 

6.  8X1+8X1+7X1+10X1+7X1  +  6X1  + 

9X1= 

7.  11X1+10X1+6X1+7X1+9X1+8X1+ 

7x1= 

8.  9  X  1+9  X  1+8X1+8X1+7X1+7X1+ 

-6X1= 

9.  11X1+11X1+7X1+6X1+HX1+8X1 

+7X1= 

10.  10X1+9X1+7X1+11X1+7X1+9X1+ 

10X1= 

11.  9X1  +  8X1+7X1+6X1+5X1+4X1+ 

11X1= 

.12.  12X1+11X1+10X1+9X1+8X1+7X1 
+6X1= 

13.  11X1+10X1+9X1+8X1+7X1+6X1+ 

5X1= 

14.  12X1+12X1+12X1+13X1+6X1+7X1 

+11X1= 

15.  11X1+11X1+11X1+11X1+7X1+9X1 

+7X1= 

16.  12X1+12X1+6X1+7X1+9X1  +  10X1 

+10X1= 

17.  11X1+11X1+11X1+8X1+11X1+7X1 

+3X1= 

18.  9X1+10X1+8X1+7X1+6X1+5X1+ 

4X1= 


SECOND-YEAR   TEXT-BOOK.  157 

19.  12X1+8X1+6X1+11X1+10X1+5X1 

+10X1= 

20.  11X1+11X1+10X1+10X1+9X1+9X1 

+3X1= 

21.  John  bought  8  sticks  of  chocolate  at  5  cts. 
per  stick,  and  paid  for  them  with  a  50  cent  piece  ; 
how  much  change  should  he  receive?     Ans. — 
He  should  receive  10  cts.  in  change. 

22.  A  boy  ate  6  apples  one  day,  5  apples  the 
next  day,  7  apples  the  next  day,  and  6  apples 
the  next  day  ;  how  many  apples  did  he  eat? 

23.  When  candy  is  6  cts.  per  ounce,  how  much 
will  7  ounces  cost  ? 

LESSON  CY. 


(1) 

(2) 

(3) 

(*) 

(*) 

37,246 

45,145 

55,116 

12,876 

33,333 

13,875 

767 

554 

13,516 

5,185 

24 

3,765 

3,545 

276 

22,222 

24,416 

24,154 

24,376 

64 

654 

376 

76 

25 

9 

37 

(6) 

P) 

(8) 

(9) 

(10) 

24,184 

22,876 

31,116 

24,838 

21,864 

916 

16,325 

276 

56 

3,924 

37 

95 

3,546 

13,375 

814 

33,512 

12,725 

21,416 

44 

94 

75 

13,416 

12,336 

12,837 

4 

158  SECOND-YEAR    ARITHMETIC. 


(11) 

55,764 
13,323 

(16) 

77,787 
13,267 


SUBTRACTION. 
(12)           (13)            (14) 
67,676      59,876      59,897 
16,346       24,726       18,264 

(15) 

67,617 
13,514 

(17) 
58,584 
16,273 

(18) 
98,898 
77,327 

(19) 
64,676 
32,325 

(20) 
44,374 
32,124 

21. 
22. 
23. 
24. 
25. 


LESSON  CYI. 


1.  3X5+3X5+6X5=12X5=60X1 

2.  2X5+3X5+2X5= 

3.  3X5+1X5+1X5= 

4.  1X5+4X5+3X5= 

5.  1x5+1x5+1x5= 

6.  2X5+1X5+6X5= 

7.  1X5+1X5+2X5= 

8.  2X5+3X5+4X5= 

9.  1X5+2X5+3X5= 

10.  2X5+2X5+4X5= 

11.  3X4+1X4+1X4= 

12.  1X4+3X4+4X4= 


SECOND-YEAR  TEXT-BOOK.          159 

13.  2X4+2X4+5X4=: 

14.  1X4+1X4+1X4= 

15.  2X4+3X4+7X4=: 

16.  3X4+2X4+4X4= 

17.  1X4+1X4+2X4= 

18.  3X4+3X4+2X4= 

19.  4X4+5X4+2X4= 

20.  2X4+2X4+3X4= 

21.  1X4+2X4+3X4= 

22.  2X3+2X3+2X3= 

23.  1X3+1X3+1X3= 

24.  3X3+3X3+3X3=: 

25.  4X3+4X3+4X3— 

26.  1X3+1X3+4X3= 

27.  2X3+2X3+5X3= 

28.  3X3+3X3+4X3= 

29.  2X3+1X3+2X3= 

30.  3X3+2X3+3X3= 

31.  4X3+3X3+4X3= 

32.  2X3+3X3+4X3= 

33.  7X7+6X6+3X3= 

34.  8X8+5X7+2X2= 

35.  9X9+7X6+3X2= 

36.  10X7+6X8+1X6= 

37.  8X7+9X4+3X4= 

38.  7X10+6X5+2X3= 

39.  9X9+5X7+6X2= 


160  SECOND- YEAR    ARITHMETIC. 


40.  8X5+4X9+3X3= 

41.  6XH-7X&'—  3X#= 

•42.  5x#—  2x^7+3  X#= 

43.  6x5+9x5+8x5= 

44.  8x5+7x5—6x5= 

45.  3X0+9X0-4X0= 

45.  8X0+7X0—4X0= 

46.  8X0+7X0—9X0= 

47.  7x#—  5x#+3X#= 

r 

48.  llx#+5x#—  6X#= 

49.  9a?+5a!+3a!= 

50.  Sx+^-^sc— 

LESSON  CYII. 

SUBTRACTION. 

(1) 

(2)            (3)              (4) 

(5) 

93,762 

76,369       69,518       55,555 

34,567 

81,321 

24,135       67,312       43,215 

12,345 

W) 

(7)            (8)             (9) 

(10) 

89,012 

66,766       55,847      44,876 

82,916 

73,011 

13,613       12,716       13,373 

71,613 

ADDITION. 

.  (11) 

(12)          (13.)            (14) 

'(15) 

25,184 

41,141       35,726       33,766 

53,327 

376 

8,617       21,594       12,816 

64 

33,325 

375       11,813             76 

1,317 

7,6>46 

94       12,376             35 

21,777 

13,854 

7       11,254           115 

365 

SECOND-YEAK    TEXT-BOOK.  161 

16.  CCXCVI=  21.  327= 

IT.  CCLXXXV=  22.  165= 

18.  000X111=  23.  128= 

19.  CXVII=  24.  143= 

20.  CCCXLIli=  25.  279= 

LESSON  CVIII. 

1.  6X6+7X5+8X2=87X1. 

2.  9X7+6X6+3X3= 

3.  8X4+4X8+3X2= 

4.  9X9+7X6+2X2= 

5.  7X7+6X6+1X6= 

6.  8X5+5X8+4X4= 

7.  9X3+3X7+6X2= 

8.  8X8+5X5+3X3= 

9.  10X5+4X10+4X4= 

10.  9x4+3x8+2*5= 

11.  7X5+6X7+3X2= 

12.  8X6+6X5+3X4= 

13.  7X7+5X5+2X1= 

14.  9X4+7X6+3X5= 

15.  8X7+7X7+2X3= 

16.  3X12+3X12+3X12= 

17.  2X12+2X12+2X12= 

18.  4X12+4X12+4X12= 

19.  1X12+1X12+1X12= 

20.  3X12+5X12+3X12= 


162  SECOND-TEAR    ARITHMETIC. 

21.  1X12+5X12+1X12= 

22.  1X12+2X12+1X12=: 

23.  2X12+5X12+3X12= 

24.  2X12+5X12+1X12= 

25.  1X12+3X12+1X12= 

26.  2X12+3X12+4X12= 

27.  3X11+3X11+5X11= 

28.  2X11+3X11+3X11— 

29.  2X11+1X11+2X11= 

30.  1X11+1X11+2X11= 

31.  2X11+3X11+2X11=: 

32.  3X11+3X11+4X11= 

33.  1X11+1X11+1X11= 

34.  2X11+3X11+3X11= 

35.  3X11+4X11+2X11= 

36.  2X11+2X11+8X11= 

37.  3X10+3X10+6X10= 

38.  2X10+3X10+5X10= 

39.  3X10+1X10+7X10= 

40.  2X10+3X10+2X10= 

41.  376= 

42.  294= 

43.  483= 

44.  176= 

45.  213= 
46. 

47. 


SECOND-YEAR   TEXT-BOOK.  163 


48. 
49. 
50.  12&6£—  106= 


LESSON  CIX. 

1.  6X7+6X5+3X3=81X1. 

2.  9X5+8X4+7X1= 

3.  8X1+7X5+2X2= 

4.  9X0+5X6+4X3= 

5.  8X'6+6X4+3X2= 

7.  7X7+5X5+4X4= 

8.  5X11+3X10+2X3= 

9.  8X4+7X3+3X3= 

10.  4X10+<:1X5+6X1= 

11.  9X4+8X3+2X2= 

12.  7X6+9X3+3X3= 

13.  6X5+8X4+7X2= 

14.  9X7+4X8+2X5= 

15.  7X7+5X5+3X4= 

16.  9X3+8X4+5X1= 

17.  7X4+3X11+6X2= 

18.  10X6+7X4+3X3= 

19.  8X5+9X3+2X2= 

20.  7X7+5X5+4X4= 

21.  I  bought  at  one  time  9  books,  at  another 
time  7  books,  at  another  time  11  books,  and  at 
another  time  6  books  :  how  many  books  did  I 
buy?  Ana.  —  I  bought  33  books. 


164  SECOND-YEAR    ARITHMETIC. 

22.  James  shot  an  arrow  21  feet ;  he  sent  a 
boy  after  it ;  how  far  would  the  boy  have  to  go 
to  get  the  arrow  and  bring  it  back  to  James? 

23.  There  are  3  feet  in  one  yard ;  how  many 
feet  in  9  yards  ? 

24.  There  are   12  inches  in  one  foot;  how 
many  inches  in  12  feet? 

LESSON  CX. 

.     1.  3X12-|-3X12+3X12=9X12=108X1. 

2.  1X12+1X12+1X12= 

3.  4X12+4X12+4X12= 

4.  2X12+2X12+2X12= 

5.  3X12+1X12+1X12= 

6.  2X12+2X12+4X12= 

7.  3X12+3X12+5X12= 

8.  1X12+2X12+1X12= 

9.  3X12+1X12+3X12= 

10.  2X12+3X12+5X12= 

11.  1X11+3X11+1X11— 

12.  2XH+3X11+45X11= 

13.  3X11+4X11+5X11= 

14.  1X11+3X11+6X11= 

15.  2X11+3X11+4X11= 

16.  3X10+2X10+3X10= 

17.  3X10+4X10+4X10= 

18.  4X10+7X10+1X10= 


SECOND- YEAR   TEXT-BOOK.  165 

19.  1X10+5X10+3X10= 

20.  2X10+3X10+2X10= 

21.  3X9+4X6+2X7= 

22.  4x8+5x7+6x4= 

23.  9X5+3X7+8X4= 

24.  6X9+5X8+7X6= 

25.  9X3+8X4+5X6= 

26.  7x7+6x3+9x2= 

27.  8x4+7x6+9x3= 

28.  10x7+7x5+6x8= 

29.  3x9+8x7+5x6= 

30.  7X4+9X5+6X6= 

SUBTRACTION. 

(31)          (32)         (33)         (34)  (35) 

37,625     76,385     85,727     96,386  .24,764 

14,114     15,124    43,212     72,154  13,613 


(36)          (37)        (38)         (39)          (40) 
95,848    77,596     69,729     57,926     93,969 
72,616    36,276     18,316     16,713     81,726 


LESSON  CXI. 

NOTE. — Teacher  may  dictate  these  examples  for  slate- 
work. 

(1)           (2)           (3)            (4)  (5) 

36,725  52,135  33,724  27,254  37,556 

13,854   7,643  12,345    286  3,929 

2,764  18,596    678   3,724  18,496 

5,382    375     93  18,969  376 


166  SECOND- YEAR    ARITHMETIC. 

(6)  (7)  (8)  (9)  (10) 

28,975  29,546  39,275  49,354  33,516 

3,296  766  856  12,345  87 

27,589  39  64  27,089  24,006 

669  13,918  9  14,276  13,879 

(11)  (12)  (13)  (14)  (15) 

14,276  27,586  27,635  35,276  27,606 

26,854  3,972  18,959  12,966  18,095 

376  9,846  21,966  34,876  2,003 

13,951  33,859  33,857  28,396  35,898 


LESSON  CXII. 

1.  9X6-J-3X7+4X4=91X1. 

2.  6X7+7X6+5X3= 

3.  10X4+6X6+3X6= 

4.  9X5+7X3+3X4= 

5.  6X8+8X3+7X2= 

6.  9X4+6X7+3X5= 

7.  7X8+5X9+8X2= 

8.  5X10+6X6+5X5= 

9.  8X7+6X8+3X6= 

10.  10X7+5X8+8X4= 

11.  8X9+3X7+6X5= 

12.  9X8+7X5+3X7= 

13.  10X9+7X7+4X6= 

14.  6X8+7X4+5X6= 


SECOND-YEAR  TEXT-BOOK.         167 

15.  8X7+7X6+3X8=: 

16.  9X3+5X8+6X4=: 

17.  3X10+9X5+3X6=: 

18.  10X7+6X6+3X10= 

19.  6X11+5X9+5X4= 

20.  3X12+12X3+3X12= 

21.  5X9+9X7+3X9= 

22.  6X8+7X3+5X8= 

23.  12X6+7X5+3X10= 

24.  9X9+5X5+4X4= 

25.  11X7+3X10+3X10= 
26. 

27. 

28.  \\xy 

29.  Qx—  5#+4aj= 
30. 

31. 

32.  lly-9y+2y= 

33.  12a?—  6x—  3a?= 
34. 

35. 


LESSON  CXIII. 

1.  James  has  11  cts.,  and  George  has  10  times 
as  many   cents,   how  many  cents  has   George? 
Ans.  —  George  has  10  X  11  cts.  which  are  110  cts. 

2.  There  are  12  girls  in  each  of  9  rows,  how 
many  girls  in  the  9  rows  ? 


168  SECOND-TEAR     ARITHMETIC. 

3.  I  bought  2  quarts  of  peanuts  at  10  cts.  per 
quart,  and  5  ounces  of  candy  at  5  cts.  per  ounce, 
how  much  money  did  I  spend  ? 

4.  A  man  rode  8  miles  an  hour  for  7  hours, 
how  many  miles  did  he  ride  ? 

5.  There  are  11  girls  in  each  of  12  rows,  how 
many  girls  in  the  12  rows? 

SUBTRACTION. 

(6)          (7)  (8)  (9)          (10) 

32,751     46,789     68,950     51,964  95,876 

11,321     13,327     27,840     31,723  72,341 


(11) 

(12) 

(13) 

(14) 

(15) 

27,586 

58,667 

76,392 

89,699 

27,676 

13,316 

23,542 

54,181 

73,248 

16,354 

(16) 

(17) 

(18) 

(19) 

(20) 

54,849 

48,379 

34,567 

78,901 

58,946 

13,726 

27,164 

12,345 

67,801 

37.005 

LESSON  CXIY. 

NOTE. — Teacher  may  dictate  to  pupils  at  the  board,  or 
for  slate  work. 

(1)    (2)     (3)    (4)     (5)  (6) 

36,815  57,181  30,001  12,876  24,001  51,275 

17,256  16,081  25,016  35,127  18,165  1,806 

34,180  15,147  3,708  12,975  37,028  25,545 

1,700    686   1,561    842  15,274  2,847 

305    35    37  33,176  12,676  1,< 


SECOND- YEAR   TEXT-BOOK.  169 

(T)  (8)  (9).   (10)  (11)  (12) 

29  35,004  27,027  35,186  11,618  33.333 

:J84  16,275  13,113  10,008  25,374.  18,105 

14,256  2,876  12,002  30,030  12,156  24,267 

18,524  364  10,010  25,176  13,241  1,382 

32,576  85  1,515  18,255    876  12,500 


13.  7X6+5X4+8X3= 

14.  3X8+7X4+5X5= 

15.  4X6+3X8+1X2= 

16.  9X7+3X1+8X2= 

17.  2X5+10X10+4X6= 

18.  7X4+8X3+5X2= 

19.  6X6+2X2+5X5= 

20.  8X44-7X3+3X3= 

LESSON  CXY. 

1.  11X1+6X1+8X1+7X1+5X1+8X1  + 

10X1+6X1= 

2.  9X1+9X1+9X1+8X1+8X1  +  8X1  + 

7X1+7X1= 

3.  12X1+6X1+5X1+4X1+8X1+7X1  + 

6X1+8X1= 

4.  6xl  +  7xl+8Xl+9xl-^3xl+4xl+5 

X1+4X1= 

5.  7xl+7xl+6xl+6xl+5Xl+5xl+4 

Xl+4Xl= 

6.  13xl+5xl+7xl+4xl+8><l+6xl+7 

Xl+5xl  = 


170  SECOND- YEAR   ARITHMETIC. 

7.  9X1  +  8X1+TX1+6X1+5X1+4X1+3 

X  1+6x1= 

8.  10  • X  1+11 X 1+6X1+8X1+11X1+5X1 

+4X1+8X1= 

9.  12X1+12X1+6X1+7X1+5X1+8X1+ 

7X1+5X1= 

10.  13X1+3X1+11X1+4X1+7X1+3X1+ 

9X1+7X1= 

11.  11X1+10X1+9X1+8X1+6X1+2X1+ 

10X1+6X1= 

12.  UX1+14X1+7X1+6X1+7X1+6X1+ 

4X1+5X1= 

13.  9X1+7X1+9X1+3X1+9X1+5X1+10 

Xl+7xl= 

14.  10X1+12X1+6X1+8X1+7X1+6X1+ 

5X1+4X1= 

15.  12X1+7X1+9X1+6X1+10X1+5X1+ 

8X1+5X1= 

16.  14X1+6X1+3X1+7X1+5X1+7X1+ 

6X1+4X1= 

17.  10X1+10X1+8X1+6X1+4X1+5X1+ 

11X1+3X1= 

18.  15X1+15X1+6X1+8X1+5X1+7X1+ 

3X1+8X1= 

19.  13X1+13X1+13X1+7X1+5X1+6X1 

+7X1+3X1= 

20.  9X1+10X1+11X1+7X1+6X1+5X1+ 

8X1+3X1= 


SECOND-YEAR   TEXT-BOOK.  171 


21.  9X7+6X6+8X5= 

22.  3X9+7X4+5X5= 

23.  10X6+6X5+3X4= 

24.  11x7+5x8+4x4= 

25.  9X3+7X5+8X3= 

26.  7X6+3X11+7X3= 

27.  9X8+8X6+6X6= 

28.  7X7+6X6+5X5= 

29.  8X5+8X3+7X6= 

30.  6X11+8X5+5X4= 

LESSON  CXYI. 

(1) 

(2)           (3)           (4)           (5) 

32,720 

44,040     26,726     18,725     35,353 

15,483 

3,725            93     14,636     20,600 

21,065 

664     30,509     23,590       3,925 

2,701 

83       3,264     15,275       2,746 

554 

7     12,575     12,964       1,325 

(6) 

(7)           (8)           (9)          (10) 

14,144 

76,364     15,009     22,724     35,840 

21,814 

3,725     16,015            36          128 

6,374 

984     12,305     13,355     21,637 

2,584 

66     10,093            76          155 

12,144 

9     12,933     18,255     12,418 

11.  George  paid  14  cts.  for  a  book,  6  cts.  for 
an  eraser,  10  cts.  for  a  slate,  and  8  cts.  for  some 
paper  ;  how  much  did  he  pay  for  all  ? 


172  SECOND-YEAR    ARITHMETIC. 

12.  There  are  3  feet  in  one  yard,  how  many 
feet  in  9  yards  ? 

13.  There  are  12  inches  in  one  foot,  how  many 
inches  in  11  feet  ? 

14.  Henry  had  a  twenty-five  cent  piece,  eight 
pennies,  and  two  five  cent  pieces,  how  much 
money  did  he  have  ? 

15.  A  boy   ran  26  feet  down  the  walk  and 
then  ran  back  again,  how  many  feet  did  he  run? 

LESSOR  CXVII. 

1.  3X12+5X12+4X12= 

2.  2X12+3X12+6X12=: 

3.  3X12+3X12+4X12= 

4.  2X12+5X12+2X12= 

5.  3X12+3X12+2X12= 

6.  4X12+1X12+2X12= 

7.  2X12+1X12+3X12= 

8.  2X12+1X12+2X12= 

9.  1X12+2X12+1X12= 

10.  1X12+1X12+1X12= 

11.  2X11+3X11+6X11= 

12.  3X11+3X11+6X11= 

13.  2X11+2X11+6X11= 

14.  1X10+3X10+8X10= 

15.  2X10+5X10+4X10= 

16.  3X10+3X10+4X10— 


SECOND-YEAR   TEXT-BOOK.  173 

17.  1X9+3X9+5X9= 

18.  2X9+3X9+7X9= 

19.  3X9+3X9+5X9= 

20.  2x9+3x9+5x9= 

21.  3X9+2X9+3X9= 

22.  1X9+3X9+3X9= 

23.  2X9+2X9+2X9= 

24.  2,X  9+2x9+1x9= 

25.  2X9+1X9+1X9= 

26.  1X9+1X9+1X9= 

27.  3X8+4X8+5X8= 

28.  2X8+3X8+4X8= 

29.  1X8+2X8+3X8= 

30.  3X8+4X8+4X8= 

31.  2X8+3X8+5X8= 

32.  3X8+2X8+3X8= 

33.  1X8+2X8+4X8= 

34.  2X8+1X8+2X8= 

35.  1X8+2X8+1X8= 

36.  1X8+1X8+1X8= 

37.  3x7+2x7+7x7= 

38.  1x7+3x7+7x7= 

39.  3x7+3x7+4x7= 

40.  2x7+4x7+3x7= 

41.  1x7+2x7+4x7= 

42.  2x7+2x7+2x7= 

43.  1x7+1x7+3x7= 

44.  1X7+2X7+1X7= 


174  SECOND-YEAR    ARITHMETIC. 

45.  1x7+1x7+1x7= 

46.  3X6+3X6+6X6= 

47.  2X6+3X6+6X6=: 

48.  1X6+3X6+6X6= 

49.  2X6+1X6+6X6= 

50.  1X6+1X6+6X6= 

51.  3X6+1X6+3X6= 

52.  1X6+2X6+3X6= 

53.  1X6+1X6+3X6= 

54.  2X6+1X6+1X6= 

55.  1X6+1X6+1X6= 

56.  2X5+3X5+7X5= 

57.  1X5+3X5+7X5= 

58.  2X5+1X5+7X5= 

59.  1x5+1x5+7x5= 

60.  2X5+3X5+3X5= 

LESSOR  CXYIII. 

L  6X6+5X4+7X3= 

2.  8X5+9X3+3X6= 

3.  6X7+5X5+4X8= 

4.  9X3+7X6+5X3= 

5.  7X7+6X5+4X4= 

6.  8X7+4X4+3X5= 

7.  9X6+7X3+3X6= 

8.  8X8+5X5+4X4= 

9.  7X6+6X7+5X5= 


SECOND-YEAR    TEXT-BOOK.  175 

10.  8X4+9X4+3X4= 

11.  12X5+7X2+6X3= 

12.  9X44-5X9+3X7= 

13.  8X6+6X6+5X3= 

14.  9X2+8X7+6X3= 

15.  11X6+3X11+7X2= 

16.  9X9+6X6+4X4= 

17.  8X3+7X5+4X5= 

18.  9X8+5X7+6X3= 

19.  6X6+5X5+7X7= 

20.  4X8+8X4+3X9= 

SUBTRACTION. 

(21)        (22)          (23)          (24)  (25) 

36,729     59,864     96,769     75,946  82,729 

14,316     18,723     83,616     33,726  71,616 


LESSON  CXIX. 


(1) 

136,345 
127,246 
30,030 
118,056 
120,505 

(2) 
246,376  • 
18,185 
100,703 
26,376 
10,518 

(3) 
115,115 
27,064 
113,359 
33,303 
102,201 

(*) 

165,156 
37,276 
103,303 

24,276 
120,301 

(5) 
125,252 
67,376 
104,400 
26,370 
34,376 

(10) 
156,600 
37,636 
100,100 
10,010 
110,969 

(6) 
303,303 
109,901 
96,876 
125,841 
346 

CO 
271,276 
93,855 
112,316 
24,909 
115,263 

(8) 
116,369 
109,090 
15,176 
3,954 
112;212 

(9) 
363,763 
94,186 
3,725 
418 
63 

176  SECOND-YEAR    ARITHMETIC. 

• 

11.  James  has  18  marbles,  George  has  13  mar- 
bles, and  Henry  has   as   many   as  James  and 
George  together,  how  many  marbles  has  Henry  ? 

12.  A  man  gave  each  of  his  two  sons  $12,  and 
each   of  his   three   daughters  $10,  how  much 
money  did  he  give  to  his  children  ? 

13.  If   one  book  cost   11  cts.,  what   will   K) 
books  cost  ? 

14r.  I  bought  4  ounces  of  candy  at  5  cts.  per 
ounce,  how  much  change  should  I  receive  from 
25  cts.? 

15.  John  is  10  years  old  and  his  sister  ic  3 
years  younger,  how  old  is  his  sister  ? 

LESSON  CXX. 

1.  3  X 12+8  x -7+9x4= 

2.  9X9+6X6+7X3= 

3.  9X7+7X8+5X6= 

4.  6X6+8X3+9X3= 

5.  7X5+5X7+7X5= 

6.  8X4+9X3+7X4= 

7.  12X5+8X6+3X4= 

8.  9X10+6X7+5X5= 

9.  8X5+6X8+4X4= 

10.  11X3+7X6+5X4= 

11.  9X8+7X7+6X6= 

12.  8X10+10X7+6X10= 


SECOND-YEAR   TEXT-BOOK.  177 

13.  9X3+5X9+4X6= 

14.  8X5+7X6+9X3= 

15.  12  XT+6X  3+4x4= 

SUBTRACTION. 

(16)          (17)          (18)  (19)  (20) 

376,915     577,986     678,989     430,732  284,826 

125,814     345,673     346,789      120,031  173,316 


(21)          (22)  (23)  (24)  (25) 

738,093     139,186     357,124     447,646     357,913 
616,072       21,170  124     137,212     123,413 


LESSON  CXXL 

1.  11X1+6X1+8X1+7X1+5X1+6X1+ 

3X1+6X1= 

2.  7X1  +  7X1+6X1+6X1+8X1+8X1+ 

5X1+5X1= 

3.  9  X  1  +  8  Xl+7xl+6Xl+5Xl+4xl+ 

3X1+10X1= 

4.  8X1+7X1+6X1+9X1+8X1+6X1+ 

5X1+9X1= 

5.  9X1+10X1+10X1+7X1+6X1+8X1+ 

7X1+7X1= 

6.  10X1+HX1+7X1+8X1+5X1+7X1+ 

6X1+10X1= 

7.  11X1+11X1+11X1+6X1+5X1+6X1 

+5X1+6X1= 


178  SECOND- YE AK    ARITHMETIC. 

8.  10X1+9X1+7X1+6X1+10X1+7X1  + 

6X1+5X1= 

9.  12X1+6X1+8X1+7X1+6X1+8X1+7 

X  1+6x1= 

10.  9X1+8X1+7X1+11X1+7X1+6X1+ 

10X1+5X1= 

11.  12X1+6X1+8X1+7X1+10X1+9X1+ 

6X1+7X1= 

12.  13X1+4X1+11X1+6X1+7X1+8X1+ 

10X1+6X1= 

13.  llXl+llXl+llXl+llXl+UXl+ll 

xi+nx  1+11x1= 

14.  8X1  +  8X1+8X1+8X1+8X1+8X1+ 

8X1+8X1= 

15.  9X1  +  9  Xl+9xl+9xl+9Xl+9Xl+ 

9X1+9X1= 

16.  7X1  +  7X1+7X1+7X1+7X1+7X1+ 

7x1+7x1= 

17.  6X1  +  6X1+6X1+6X1+6X1+6X1+ 

6X1+6X1= 

18.  7X1  +  11X1+6X1+10X1+6X1+10X1 

+6X1+10X1= 

19.  9X1+7X1+6X1+HX1+5X1+10X1+ 

5X1+11X1= 

20.  6X1+11X1+11X1+8X1+7X1+8X1+ 

9X1+10X1= 


SECOND-YEAR  TEXT-BOOK.  179 


21.  M=l,000  31. 

22.  CM=900  32.  1,556 

23.  DCCLXXII—  33.  2;374 

24.  CDLXVII=  34.  1^633 

25.  DCXLIY=  35.  2,482 

26.  CCCLXXXYI1=     36.  3,168 

27.  DCCCXCYI=         37.  1,791 

28.  CMLXXI=  38.  2,829 

29.  MCCXLY=  39.  3,003 

30.  MDCLXX=r  40.  1,010 

41. 

42. 

43. 

44. 

45. 

46.  90+20— 

47. 

48. 

49. 

50. 


LESSON  CXXIL 

1.  8x8+7x7+3x3=122 

2.  9X9+7X11+8X5= 

3.  9X7+6X8+4X4= 

4.  8X6+7X7+3X9= 

5.  9X11+8X7+4X4= 


180  SECOND-YEAK    ARITHMETIC. 


6.  11X7+10X8+7X6= 

7.  14X1+17X1+3X9= 

8.  16X1+14X1+3X8= 

9.  9X9+6X8+3X11— 

10.  11X7+6X7+9X4= 

11.  12X9+7X6+9X3= 

12.  9X9+8X8+7X4= 

13.  8X4+7X6+8X6= 

14.  9X9+8X7+8X6= 

15.  8X4+9X9+7X3= 

16.  7X9+8X5+3X12= 

17.  8X8+7X7+6X5= 

18.  11x11+6x8+4x7= 

19.  3X9+8X5+7X4= 

20.  11X6+7X3+8X2= 

21.  9X12+6X6+5X5= 

22.  9x8+6x7+8x5= 

23.  11X12+8X7+9X6= 

(24)              (25)             (26) 

(27) 

23,675         86,546         37,148 

47,147 

14,700          3,368          1,476 

3,376 

1,001           1,674         10,643 

1,000 

865              475              374 

007 

96               90               37 

70 

(28)              (29)             (30) 

(31) 

10,007        30,007        10,600 

30,008 

37,076          1,006        10,007 

1,000 

3,001              370           1,006 

906 

674          3,476             007 

1,007 

40              908               96 

008 

SECOND- YEAR     TEXT-BOOK.  181 

LESSON  CXXIII. 

1.  A  boy  bought  5  ounces  of  candy  at  5  cts. 
per  ounce,  and  two  quarts  of  peanuts  at  10  cts. 
per  quart,  how  much  did  he  pay  for  all  ? 

2.  James  is  24  years  old  and  Kate  is  6  years 
younger,  how  old  is  Kate  ? 

3.  George  had  16  marbles  and  lost  9  of  them, 
how  many  had  he  left  ? 

4.  Sara  shot  an  arrow  29  feet,  how  far  would 
she  have  to  go  to  get  the  arrow  and  bring  it 
back? 

5.  8X6+7X5+4X4:= 

6.  9X8+6X6+3X5= 

7.  8X7+7X6+5X4= 

8.  10X6+6X8+3X6= 

9.  9X5+5X9+4X3= 

10.  8X5+6X7+9X3= 

11.  11X6+7X10+5X5= 

12.  12X8+6X11+5X2= 

13.  9X6+8X5+7X3= 

14.  7x7+6x6+5x5= 

15.  8X8+4X4+6X6= 

16.  9X8+5X7+3X8= 

17.  8X7+7X8+6X2= 

18.  6X11+7X5+4X10= 

19.  9X5+8X4+3X7=* 

20.  11X6+6X8+9X5= 


182  SECOND- YEAR    ARITHMETIC. 

21.  7X  7+9x9+6x3= 

22.  8X8+8X5+6X4= 

23.  9X9+8X5+7X6= 

24.  10X7+8X11+6X2=: 

LESSON  CXXIY. 

SUBTRACTION. 

(1)             (2)              (3)              (4)  (5) 

366,184     729,886     519,875      928,820  448,096 

124,133     616,662     314,110      716,610  327,052 


(6) 

927,729 
816,616 

00' 
643,004 
312,000 

(S) 
546,433 
125,113 

(9) 
443,729 
121,616 

(10) 
838,726 
724,313 

(11) 
954,512 
723,310 

(12) 
444,444 
123,123 

(13) 
675,890 
345,670 

(14) 
275,824 
61,312 

(15) 
116,187 
3,120 

(16) 
334,416 
123,014 

(17) 
437,256 
213,121 

(18) 
078,989 
313,919 

(19) 

256,061 
133,011 

(20) 
854,726 
323,615 

21.  9X6+6X8=  26.  7x8+8x7= 

22.  7X9+5X8=  27.  9x8+7x4= 

23.  9X9+6X11=  28.  6x11+11x6= 

24.  7X5+8X12=  29.  8x5+9x3= 

25.  9X6+6X11=  -°A  (1x7+5x12= 


SECOND-YEAR   TEXT-BOOK.  183 

31.  9X7+5X11=:  36.  9X8+7X6= 

32.  8X4+7X6=:  37.  11x5+6x12= 

33.  9X3+12X7=  38.  7x9+10x8= 

34.  7X6+9X3=  39.  9x7+11x6= 

35.  12X8+8X5=  40.  12x8+6x9= 

LESSON  CXXV. 

1.  9X5+8X7+6X4= 

2.  7X8+5X6+9X3= 

3.  6X6+7X7+5X5= 

4.  9X4+4X9+9X4= 

5.  8X7+6X9+3X11= 

6.  12X5+8X3+7X4= 

7.  9X6+6X6+3X8= 
&.  7X5+12X3+7X6= 
9.  8X11+11X4+6X7= 

10.  5X9+11X7+6X3= 

11.  7X9+8X6+6X7= 

12.  4X8+11X8+6X8= 

13.  9X5+7X6+11X3= 

14.  12X7+6X4+8X2= 

15.  9X5+5X12+11X4= 

16.  7X11+11X7+5X4= 

17.  9X8+7X6+5X4= 

18.  6X9+5X10+11X3= 

19.  12X5+5X12+12X5= 

20.  7X4+8X7+6X6= 


184  SECOND-YEAK    AKITHMKTIC. 


(21) 

(22) 

(23) 

(24) 

(25) 

637,186 

113,215 

34,686 

28,616 

116,376 

15,494 

124,'673 

27,953 

13,770 

124,815 

7,216 

215,813 

59,416 

20,596 

136,073 

437 

134,355 

12,756 

35,676 

155,559 

24 

123,456 

33,375 

44,546 

124,156 

(26) 

(27) 

'  (28) 

(29) 

(30) 

276,055 

315,155 

155,480 

314.764 

64,344 

18,476 

94,766 

2,766 

44,324 

84,275 

3,729 

113,376 

13,518 

3,724 

36,864 

116,483 

2,756 

112,764 

444 

21,959 

27,616 

116,616 

3,346 

113,124 

18,437 

LESSON  CXXVL 

1.  There  are  19  boys  in  one  row,  16  boys  in 
another  row,  and  11  boys  in  another  row,  how 
many  boys  in  the  three  rows  ?' 

2.  If  one  sky-rocket  cost  9  cts.,  what  will  11 
sky-rockets  cost? 

3.  I  bought  5  ounces  of  candy  at  4  cts.  per 
ounce,  and  2  quarts  of  peanuts  at  10  cts.  per 
quart,  how  much  did  I  pay  for  all  ? 

4.  I  spent  at  one  time  16  cts.,  at  another  time 
17  cts.,  at  another  time  18  cts.,  and  at  another 
time  12  cts.,  how  many  cents  did  I  spend  ? 


SECOND-YEAR   TEXT-BOOK. 


185 


5.  12x11  cts.=  ? 

6.  9X5+8X6= 

7.  7X9+6X6=: 

8.  5X8+8X7=: 

,  9.  3X12+6X9= 

10.  5X11+4X12= 

11.  8x7+7x8=: 

12.  9X9+8X8= 

13.  7X7+6X6=: 

14.  5X5+4X4= 

15.  7x6+8x7=: 

16.  5X9+4X8= 

17.  3X10+7X8=: 


18.  9X4+8X6= 

19.  8X6+7X5= 

20.  9X4+8X3= 

21.  7X6+6X5= 

22.  11X7+4X9=- 

23.  8X6+6X6= 

24.  3X9+5X8= 

25.  9X4+8X6= 

26.  7X11+11X5= 

27.  9X3+7X6= 

28.  8X5+7X4= 

29.  7X8+6X8= 

30.  9X3+11X3= 


LESSON  CXXVII. 

(1)    (2)     (3)     (4)     (5) 
36-,406  37,604  67,140  83,907  36,140 


3,007 
306 
37 
104 

9,006 
940 
107 
90 

8,007 
960 
37 

8 

1,004 
904 

67 
9 

9,004 
996 
85 
107 

30,004 
1,000 
906 
87 
4 

(?) 
37,106 
9,000 
7,640 
844 
30 

"(8) 

94,607 
9,060 
407 
96 

8 

38,470 
9,060 
370 

67 
9 

(10) 
89,104 
3,070 
906 
100 
7 

186  SECOND-YEAR     ARITHMETIC. 


(11) 

.  (12)          (13)          (14) 

(15) 

46,106 

38,407     38,960     37,648 

39,640 

3,070 

1,006       1,006       3,001 

1,007 

306 

943         907         675 

960 

94 

94       3,006           96 

87 

5 

7           95             5 

90 

(16) 

(17)         (18)        (19) 

(20) 

30,307 

39,140     95,107    37,007 

37,140 

9,001 

1,060          607       9,004 

3,007 

1,003 

376       1,Q01         376 

4,006 

670 

45          635           47 

1,007 

4 

8            46          109 

37 

21. 

8X9+6X7+5X4=134. 

22. 

9X9+7X7+6X3= 

23. 

8X4+6X6+5X4= 

24. 

8X6+9X4+6X3= 

25. 

9X10+8X6+6X4= 

26. 

12X6+3X11+6X3= 

27. 

9X5+6X7+3X3= 

28. 

9X6+4X6+3X4= 

29. 

11X11+9X5+4X4= 

30. 

,  9X8+7X4+7X5= 

8X9= 

7X11=       12X7= 

6X8= 

12X7= 

12X5=       9X5= 

4X4= 

9X5= 

8X8=         6X6= 

9X2= 

8X11= 

7X6=        7X7= 

10X8= 

11X12= 

8X5=         8X3= 

6X4= 

12X6= 

9X6=         9X2= 

5X7= 

8X8= 

8X7=        8x5= 

8X11= 

SECOND- YEAR    TEXT-BOOK.  187 

LESSON  CXXYIII. 

1.  7X1+8X1+6X1+8X1+9X1+11X1+ 

7X1+6X1= 

2.  10X1+7X1+8X1+9X1+10X1+7X1+ 

6X1+12X1=; 

3.  9X1+5X1+8X1+12X1+13X1+9X1+ 

7X1+6X1= 

4.  12X1+12X1+12X1+8X1+11X1+6X1 

:;  +i2xi+7xi= 

5.  8X1+11X1+7X1+9X1+6X1+11X1+ 

12X1+13X1= 

6.  13X1  +  14X1  +  15X1+16X1+10X1+ 

8X1+7X1+6X1= 

7.  9X1+7X1+8X1+11X1+6X1+10X1+ 

11X1+7X1= 

8.  12X1  +  13X1+12X1+13X1+12X1+13 

X1+12X1+13X1= 

9.  9X1+8X1+7X1+6X1+15X1+14X1+ 

13X1+12X1  = 

10.  6X1+16X1+6X1+16X1+6X1+16X1 

+6X1+16X1= 

11.  9X1+7X1+11X1+7X1+11X1+9X1+ 

8X1+10X1= 

12.  12  X 1+11 X 1+6  X 1+8  X 1+11 X 1  +7  X  1 

+6X1+11X1= 

13.  13X1+13X1+13X1+13X1  +  13X1  + 

13X1+10X1+10X1=: 


188  SECOND-YEAR    ARITHMETIC. 

14.  10X1+11X1+8X1+6X1+12X1+8X1 

+11X1+15X1=: 

15.  9X1  +  12X1+15X1+18X1+13X1+16 

X  1+15x1+11X1= 

16.  CMLXXI=  26.  1,204= 

17.  MMMCXCYII=  27.  2,956= 

18.  MCDYIH=  28.  1,875= 

19.  MIY=  29.  3,720= 

20.  MDCLXXXYI=  30.  955= 

21.  CCOXLIY=  31.  729=      . 

22.  MCGLI=  32.  1,643= 

23.  MCYIII=  33.  2,413= 

24.  MMCD1X=  34.  3,721= 

25.  CXIX=  35.  1,116= 

36. 
37. 
38. 
39. 
40. 
41. 
42. 
43. 
44. 
45. 


LESSOJST  CXXIX. 

1.  3X12+3X12+3X12= 

2.  -  2  X 12+2  X 12+2  X 12= 


SECOND-YEAR   TEXT-BOOK.  189 

3.  4X12+4X12+4X12= 

4.  1X12+1X12+1X12= 

5.  3X12+1X12+1X12=- 

6.  2X12+3X12+4X12= 

7.  3X12+3X12+2X12= 

8.  2X12+5X12+4X12= 

9.  2X12+4X12+1X12= 

10.  1X12+3X12+6X12= 

11.  1X12+2X12+1X12= 

12.  3X11+3X11+3X11= 

13.  4X11+5X11+3X11= 

14.  2X11+3X11+5X11= 

15.  1X11+1X11+9X11= 

16.  2X11+3X11+3X11= 

17.  2X11+3X11+1X11= 

18.  1X11+2X11+5X11= 

19.  3X10+3X10+4X10= 

20.  3X10+2X10+3X10= 

21.  5X10+5X10+2X10= 

22.  2  X 10+2X10+7  X 10:= 

23.  3X9+3X9+5X9= 

24.  2X9+2X9+5X9= 
35.  1X9+3X9+6X9= 

26.  2x9+2x9+4x9= 

27.  3X9+4X9+5X9= 

28.  2X9+1X9+4X9= 

29.  1X9+1X9+2X9= 

30.  3X9+1X9+2X9= 


190  SECOND-TEAR   ARITHMETIC. 

31.  2X9+1X9+2X9=, 

32.  1X9+1X9+1X9= 
'  83.  1X8+1X8+1X8= 

34.  2X8+3X8+2X8= 

35.  3X8+4X8+4X8= 

36.  1X8+2X8+1X8= 

37.  3X8+4X8+1X8= 

38.  5X8+4X8+3X8= 

39.  2X8+2X8+1X8= 

40.  3X8+4X8+2X8= 

41.  2X8+3X8+1X8= 

42.  3X8+5X8+2X8= 

43.  2X9+3X9+2X9= 

44.  1x7+1x7+3x7= 

45.  2x7+3x7+2x7= 

46.  1X7+1X7+1X7= 

47.  3x7+2x7+4x7= 

48.  2x7+3x7+6x7= 

49.  1X7+2X7+3X7= 

50.  1x7+2x7+1x7= 

51.  2X7+3X7+3X7= 

52.  1x7+3x7+6x7= 

53.  2X7+2X7+8X7= 

54.  3X6+2X6+1X6= 

55.  2X6+3X6+5X6= 

56.  1x6+1x6+7x6= 

57.  2X6+1X6+4X6= 

58.  3X6+3X6+6X6= 


SECOND-YEAR   TEXT-BOOK.  191 

59.  2X6+1X6+5X6= 

60.  1X6+2X6+2X6= 

LESSON  CXXX. 

1.  6X6+5X8+4X4= 

2.  8X7+6X7+3X7= 

3.  2X9+8X6+9X4= 

4.  7X5+6X8+4X3= 

5.  9X8+7X6+6X2= 

6.  10x7+6x6+5x4= 

7.  8X6+6X8+3X6= 

8.  7X5+9X4+2X5= 

9.  6X9+9X6+6X9= 

10.  2X8+9X12+7X3= 

11.  6X3+8X5+9X4= 

12.  7X8+8X6+6X5= 

13.  3X8+7X4+9X2= 

14.  9X4+4X9+9X4= 

15.  8X3+7X6+6X4= 

16.  11X1+6X1+8X1+12X1+9X1+10X1 

+11X1+12X1= 

17.  9X1+7X1+6X1+6X1+8X1+7X1+12 

X  1+13x1= 

18.  8X1+8X1+8X1+8X1+11X1+16X1+ 

11X1+14X1= 

19.  7X1  +  6X1+9X1+8X1+7X1+12X1+ 

13X1+15X1= 


192  SECOND-YEAR    ARITHMETIC. 

20.  10X1+11X1+12X1+12X1+6X1+8X1 

+7X1+11X1= 

21.  16X1+15X1+14X1+13X1+12X1+11 

X  1+10x1+9x1= 

22.  12X1+12X1+8X1+6X1+7X1+8X1+ 

11X1+12X1= 

23.  13X1+15X1+11X1+11X1+8X1+7X1 

+6X1+13X1= 

24.  14X1+14X1+13X1+13X1+16X1+15 

X1+13X1+12X1= 

25.  9X1+8X1+7X1+6X1+8X1+11X1+ 

12X1+10X1= 

26.  Hxl+llXl+llXl+llXl+12Xl+12 

X1+12X  1+12x1= 

27.  12X14-13X1+10X1+8X1+6X1+11X1 

+11X1+13X1= 

28.  18  X  l+llXl+16xl+12Xl+13xl+12 

Xl+HXl+12Xl= 

SUBTRACTION. 
(29)  (30)*  (31)  (32) 

636,410       327,646       275,890       448,486 
124,106       310,141         13,150        316,136 


(33)  (34)  (35) 

727,675   875,584   965,006 
313,613   613,372    12,000 


SECOND-YEAK   TEXT-BOOK.  193 

LESSON  CXXXI. 

NOTE. — The  teacher  may  dictate  these  examples  for 
slate  or  board  work. 


(1) 

(2) 

(3) 

(*) 

(*) 

224,141 

141,414 

716,437 

345,678 

212,003 

86,375 

27,366 

24,343 

91 

36,367 

136,073 

2,843 

514 

1,241 

115,115 

24,306 

137 

29 

24,316 

24,133 

186 

29 

1,327 

113,734 

113,233 

(6) 

cn 

(3) 

(9) 

(10) 

334,321 

116,126 

212,284 

315,346 

143,275 

76 

284,316 

166,375 

27,218 

24,680 

164 

153,075 

182,936 

115,437 

123,456 

1,342 

218,413 

155,437 

24,364 

36,925 

21,518 

146,373 

126,315 

123,372 

135,791 

SUBTRACTION. 

(11) 

(12) 

(13) 

(14) 

(15) 

346,347 

766,387 

509,686 

164,837 

572,906 

121,124 

224,130 

313,270 

23,616 

131,005 

(16) 

(17) 

(18) 

(19) 

(20) 

275,843 

116,184 

987,654 

296,364 

843,346 

1,321 

23 

321,123 

172,123 

121,124 

LESSON  CXXXIL 

1.  9x6+8x7=  o 

2.  11X7+5X8=  4.  8X9+7X6= 


194  SECOND-TEAR    ARITHMETIC. 

5.  9X5+6X12=  26.  1,364= 

6.  8X7+5X9=  27.  2,909= 

7.  7x8+6x11—  28.  3,546= 

8.  12X8+6X8=  29.  1,816= 

9.  3X12+12X8=  30.  2,465= 

10.  9X7+8X6=       31.  1,624= 

11.  11X11+5X7=  32.  783= 

12.  10X8+9X5=     33.  3,256= 

13.  8X11+11X6=  34.  1,018= 

14.  12X7+6X8=     35.  2,193= 

15.  7X11+6X10=  36.  MCMXCIY= 

16.  9X6+12X9=     37.  MMCCVIII= 

17.  11X9+8X6=    38.  MMMCDLXYI  = 

18.  7X12+7X12=  39.  DCCCLXXXYIT= 

19.  11x9+9x8=     40.  MDCLXYI= 

20.  10X7+6X11=  41.  DCCLYIII= 

21.  9X12+8X6=     42.  MCXLIX= 

22.  7X9+8X11=     43.  MMMDY= 

23.  9X6+12X7=    44.  MX= 

24.  5X11+8X12=  45.  MMMXIX= 

25.  6X12+8X9= 

LESSON  CXXXIII. 

1.  11X1+12X1+13X1+14X1+15X1  +  16 

Xl+17Xl+18Xl= 

2.  12X1+9X1+8X1+11X1+7X1+12X1 

+8X1+12X1= 


SECOND-YEAR    TEXT-BOOK.  195 

3.  13X1+8X1+8X1+8X1+13X1+9X1+ 

11X1+7X1=: 

4.  10X1+23X1+11X1+9X1+12X1+9X1 

+7X1+6X1= 

5.  21X1+22X1+9X1+8X1+7X1+0X1+ 

5X1+10X1=: 

6.  13X1+14X1+13X1+14X1+13X1+14 

X1+13X1+14X1= 

7.  12  X  l+12xl+12xl+13Xl+13Xl+ia 
.   X1+14X1+14X1= 

8.  15  xl  +  15  X  1+14X1+14X1+14X1+9 

X  1+6x1+5x1= 

9.  7x1+17x1+6x1^-16x1+8x1+18x1 

+5X1+15X1= 

10.  9X1+9X1+13X1+12X1+11X1+10X1 

+9X1+13X1= 

11.  12  X  1+11X1+10X1+21X1+9X1+12 

Xl+HXl+12xl= 

12.  13  X  1+13X1+13X1+11X1+11X1+14 

X  1+12x1+11X1  = 

13.  12X1+21X1+12X1+22X1+20X1+13 

Xl+13Xl+12xl= 

14.  lOXl+llXl+lOXl+UXl+lOXl+H 

xi+ioxi+nxi= 

15.  23X1+16X1+11X1+21X1+14X1+13 

X1+9X1+13X1= 

16.  MX  1+9X1+6X1+13X1+10X1+9X1 

+8X1+12X1= 


196  SECOND-YEAR    ARITHMETIC. 

IT.  13  X  1+13X1+14X1+14X1+12X1+12 


18.  12X1  +  12X1+12X1+13X1+13X1+9 

X  1+8X1+8X1= 

19.  9X1+8X1+7X1+6X1+11X1+12X1+ 

9X1-L-12X1= 

20.  21  X  l+21Xl+9xl+6Xl+Txl+llXl 

+13X1+10X1= 

21.  9X8+7X6+3X3= 

22.  8X8+7X7+2X3= 

23.  9X6+6X7+3X5= 

24.  10x4+5x8+6)^2= 

25.  7X4+7X3+7X2= 

26.  5X8+9X7+3X4= 

27.  8X9+9X3+7X2= 

28.  6X8+8X6+3X5= 
29:  9X5+7X8+3X4= 
30.  12X7+8X3+5X2= 

LESSON  CXXXIV. 

EXPLANATORY.  —  For  three  or  four  days  before  begin- 
ning to  teach  subtraction  where  the  figure  in  the  subtra- 
hend is  larger  than  the  corresponding  figure  in  the  minuend, 
the  children  "  keep  store."  One  of  the  children  is  ''store- 
keeper "  and  has  pieces  of  braid,  ribbons,  spools  of  thread, 
little  dolls,  marbles,  etc.  The  "  mother  "  sends  one  of  the 
children  to  the  store  to  buy  any  one  of  the  articles  (each  of 
which  costs  less  than  ten  cents),  giving  her  a  ten  cent 
piece  and  some  pennies.  For  instance,  if  the  child  is  to 


SECOND-YEAR   TEXT-BOOK.  197 

buy  a  seven  cent  stick  of  braid,  the  mother  gives  her  a 
ten  cent  piece  and  one,  two,  three,  four,  five,  or  six, 
pennies.  If  the  child  has  14  cents,  she  steps  to  the  board 
and  writes  14  cents  and  then  writes  7  cents  under  the  14 
cents,  thus: — 14  cts. 
_7cts. 

She  then  goes  to  the  store  and  hands  the  storekeeper  the 
ten  cents,  saying,  "  I  want  a  7  cent  stick  of  braid"  ;  she 
gets  the  braid  and  3  cts.  change  which  she  puts  with  the 
4  cts.  she  has  in  her  hand,  making  7  cts.  The  teacher 
says,  "  Why  didn't  you  give  the  storekeeper  the  14  cts.  ?" 
The  child  laughs  and  says,  "Why,  I  could  get  it  with  the 
10  cts.  He  would  have  given  me  the  4  cts^back  if  I  had." 
The  teacher  says,  "Why  didn't  you  give  him  the  4 
cents?"  The  child  says,  "It  wasn't  enough.  I  couldn't 
buy  the  braid  for  that."  The  teacher  says,  "  Step  to  the 
board  and  explain  it  to  us."  The  child  steps  to  the  board 
on  which  she  had  written  14  cts.  and  says  (with  help  from 
_7cts. 

the  teacher  if  necessary),  "I  went  to  the  store  with  14  cts. 
to  buy  a  7  cent  stick  of  braid.     I  cannot  take  7  cts.  from 
4  cts. ,  so  I  take  7  cts.  from  10  cts.  which  leaves  3  cts. ;  3 
cts.  and  4  cts.  are  7  cts."  and  puts  7  cts.  for  the  answer  ; 
thus  : — 14  cts.     The  children  keep  store  until  each  child 
_7  cts. 
7  cts. 

in  the  class  can  go  to  the  store,  buy  any  article  there,  and 
put  the  example  on  the  board,  and  explain  the  example. 
In  an  example  like  the  following  87,653  the  child  says,  "  I 

13,726 

cannot  take  6  from  3  so  I  take  6  from  10  which  leaves  4; 
4  and  3  are  7."  The  teacher  says,  "  When  you  take  from 
10,  call  the  next  lower  figure  one  more."  The  child 
then  says,  ' '  3  from  5  leaves  2.  I  cannot  take  7  from  6,  so 


198  SECOND-YEAR   ARITHMETIC. 

I  take  7  from  10  which  leaves  3  ;  3  and  6  are  9  ;  4  from  7 
leaves  3,  1  from  8  leaves  7. 

1.  There  are  12  boys  in  each  of  9  rows ;  how 
many  boys  in  the  9  rows  ? 

2.  I  spent  at  one  time  13  cts.,  at  another  time 
25  cts.,  at  another  time  16  cts.,  and  at  another 
time  10  cts.;  how  much  money  did  I  spend? 

3.  John  ran  54  feet  in  the  morning  and   76 
feet  in  the  afternoon ;  how  many  feet   did  he 
run  during  the  day? 

4.  How  many  feet  in  9  yards? 

5.  James  is  18  years  old  and  his  sister  is  3 
jears  younger ;  how  old  is  his  sister  ? 

(6)  (7)  (8)  (9) 

325,186       418,416      464,321       584,367 


84,275 

30,095 

25,909 

219,897 

149,356 

276 

116,354 

31,967 

213,845 

1,384 

2,755 

257 

243 

124,275 

11,111 

4,447 

SUBTRACTION. 

(10)               (11)               (12)  (13) 

726,184       584,843       444,340  116,875 

116,126       271,134       121,016  4,136 


(14)  (15)  (16)  (17) 

286,763       726,637       809,376       256,843 
131,417      515,519       703,137       133,715 


SECOND-YEAR   TEXT-BOOK.  199 

LESSON  CXXXY. 


1 

2.  3X12+3X12+3X12+3X12=: 

3.  2X12+1X12+3X12+1X12=: 

4.  IX  12+2x12+3x12+4x12=: 

5.  2X12+2X12+1X12+2X12=: 

6.  2X12+2X12+2X12+2X12=: 

7.  1X12+2X12+4X12+2X12=: 

8.  3X11+2X11+3X11+3X11=: 

9.  2X11+4X11+4X11+2X11=: 

10.  3X11+3X11+1X11+3X11=: 

11.  1X11+2X11+4X11+2X11=: 

12.  2X11+2X11+2X11+2X11=: 

13.  1  X  11+1  X  11+1  X  11+7  X  11= 

14.  3X10+3X10+3X10+3X10=: 

15.  2X10+3X10+4X10+3X10— 

16.  3X10+1X10+1X10+5X10=: 

17.  1X10+3X10+3X10+4X10=: 

18.  2X10+3X10+1X10+1X10= 

19.  3X9+4X9+2X9+3X9=: 

20.  2X9+1X9+1X9+3X9= 

21.  2X9+2X9+3X9+3X9= 

22.  3X9+3X9+2X9+3X9=: 

23.  1X9+2X9+3X9+1X9= 

24.  2X9+2X9+2X9+2X9=: 

25.  1X9+3X9+3X9+2X9= 

26.  3X8+4X8+1X8+2X8=: 


200  SECOND-YEAR    ARITHMETIC. 


27. 

28.  2X8+3X8+4X8+3X8= 

29.  7x9+8x7= 

30.  6X11+12X5= 

31.  9X8+7X12= 

32.  6X12+12X8= 

33.  9X9+7X7= 
34  8X9+11X7= 

35.  7X12+12X8= 

36.  9X6+8X9= 

37.  8X12+7X6= 

38.  9X9+8X10= 

39.  11X10+8X7= 

40.  12X8+10X9= 

41.  8X7+7X7= 

42.  9X8+8X11= 

43.  6X12+11X5= 

44.  9X3+12X12= 

45.  11X11+7X6= 

LESSON  CXXXYI. 

1.  MMCMXXYIII=  11.  2,436= 

2.  MDCCCLX1Y=  12.  1,872= 

3.  MMMCDXLYI=  13.  3,954= 

4.  CCCLXXXYIII=  14.  1,630= 

5.  MDCXII=  15.  2,705= 

6.  MMDCCXLIII=  16.  3,389= 

7.  CCII=  17.  1,118= 

8.  MDXIX=  18.  1,111= 

9.  MMCXCYI=  19.  3,590= 
10.  MCCXXYII=  20.  2,002= 


SECOND-YEAR   TEXT-BOOK.  201 


21.  8X9+7X6+3X7= 

22.  9X10+7X7+6X3= 

23.  8X11+6X9+5X3= 

24  9X6+6X8+7X2= 

25.  10X7+9X5+8X2= 

26.  7X7+8X8+5X5= 

27.  9X9+6X3+3X4= 

28.  12x7+3x8+5x2= 

29.  9x6+6x8+3x3= 

30.  10X8+6X9+5X3= 

31.  8X7+7X6+6X2= 

32.  9X8+7X8+3X8= 

33.  8X6+6X7+4X2= 

34.  7X12+6X6+3X3= 

35.  8X11+7X5+6X2= 

(36) 

(37)           (38)            (39) 

(40) 

631,846 

225,164     112,873     235,006 

515,151 

27,586 

133,726       76,346     120,309 

34,343 

9,376 

218,457     124,275     207,063 

272,727 

486 

146,378       35,846       35,184 

28,282 

76 

137,249     127,225         2,863 

767 

LESSON  CXXXVII. 

1.  13X1+11X1+7X1+8X1+6X1+9X1+ 

8X1+7X1= 

2.  12X1+13X1+12X1+13X1+12X1+13 

Xl+12Xl+13Xl= 


202  SECOND- YE  AK    ARITHMETIC. 

3.  11  X  1+HX1+13X1+9X1+8X1+7X1 

+6X1+11X1= 

4.  9X1+11X1+12X1+9X-1+9X1+13X1 

+14X1+9X1= 

5.  12X1+11X1+10X1+6X1+7X1+9X1 

+10X1+12X1= 

6.  13X1+11X1+6X1+8X1+7X1+11X1 

+7X1+11X1= 

7.  8X1+9X1+7X1+6X1+12X1+11X1+ 

8X1+6X1= 

8.  12X1  +  12X1+12X1+13X1+6X1+11 

Xl+7xl+llXl= 

9.  13X1  +  14X1+16X1+HX1+10X1+9 

X1+8X1+10X1= 

10.  UX1+13X1+7X1+5X1+7X1+9X1+ 

6X1+11X1= 

11.  16xl  +  13Xl+HXl+7xl+llXl+10 

X  1+13x1+9x1= 

12.  9X1+8X1+7X1+6X1+5X1+14X1  + 

13X1+12X1= 

13.  TX1+6X1+9X1+8X1+7X1+6X1+H 

X  1+7x1= 

14.  7X1+8X1+9X1+10X1+11X1+12X1 

+13X1+14X1= 

15.  10  X  1+11X1+12X1+13X1+10X1+11 

X1+12X1+13X1= 

16.  9X1+9X1+11X1+7X1+9X1+8X1+ 

11X1+11X1= 


SECOND-YEAK   TEXT-BOOK.  203 

17.  7X1  +  6X1+13X1+9X1+8X1+17X1 

+6X1+8X1.= 

18.  8X1+11X1+8X1+7X1+10X1+9X1+ 

7X1+11X1= 

19.  6X1+12X1+8X1+9X1+11X1+15X1 

+6X1+9X1= 

20.  8X1+13X1+9X1+12X1+8X1+14X1 

+7X1+15X1= 

21.  9X6+7X3+5X8= 

22.  7X9+8X7+6X4= 

23.  9X7+8X6+3X3= 

24.  8X11+6X9+4X4= 

25.  8X7+12X6+7X2= 

26.  9X10+7X6+3X5= 

27.  8x5+9x7+7x3= 

28.  7X8+6X7+9X2= 

29.  11x7+8x6+6x3= 

30.  9X9+8X8+7X7= 

31.  7X5+12X6+3X8= 

32.  9X6+6X11+7X2= 

33.  4X12+12X8+3X5= 

34.  9X7+7X12+2X10= 

35.  10X11+6X6+5X3= 

LESSON  CXXXYIIL 

SUBTRACTION. 

(1)             (2)             (3)              (4)  (5) 

727,618     976,875     584,467      764,673  817,780 

413,309     325,436     321,238     332,317  603,209 


204 


SECOND- YEAR    ARITHMETIC. 


(6)     (7)     (8) 
432,937  582,728  775,956 
321,618  361,619  613,727 


(9)     (10) 
329,676  287,645 
116,329   133,216 


11.  8X9+6X8= 

12.  9X7+6X7= 

13.  8X5+9X11= 

14.  12X6+7X5= 

15.  8X9+9X8= 

16.  11X11+7X6= 

17.  9X9+5X11= 

18.  12X8+9X6= 

19.  8X11+11X6= 

20.  7X9+10X8= 

31.  9a?+ 

32.  9a?— 
33. 

34. 
35. 
36. 
37. 


21.  12x6+7x7= 

22.  7X10+6X11 

23.  11X11+5X9 

24.  10X11+6X8 

25.  3X9+7X6= 

26.  9X5+8X4= 

27.  7X8+11X9= 

28.  12X6+6X8= 

29.  9X8+11X7= 

30.  6X12+12X6 


LESSON  CXXXIX. 

1.  James  has  46  marbles,  Charlie  has  37  mar- 
bles, and  John  has  52  marbles ;  how  many  mar- 
bles have  they  all  ? 

2.  Lucy  hopped  12  feet,  and  Kate  hopped  7 


SECOND-YEAR    TEXT-BOOK.  205 

times  as  many  feet ;  how  many  feet  did  Kate 
hop? 

3.  A  boy  had  2  twenty-five  cent  pieces,  4  five- 
cent  pieces,  2  ten-cent  pieces,  and    5  pennies: 
how  many  cents  did  he  have  ? 

4.  Mary  ate  4  apples  a  day  for  5  days,  and 
then  ate  5  apples  a  day  for  4  days ;  how  many 
apples  did  she  eat  during  the  9  days  ? 

5.  At  7  for  one  cent,  how  many  marbles  can 
be  bought  for  8  cents  ? 

SUBTRACTION. 

(6)  (7)  (8)  (9)  (10) 

937,941     543,724     245,678      116,686  445,676 

831,126     213,219       31,139      113,217  313,218 

(11)  (12)  (13)  (14)  (15) 

676,754     376,675     420,064     939,216      212,064 
213,725     123,456     120,005     812,119      111,018 


(16)          (17)  (18)  (19)  (20) 

316,646     286,684    434,726     761,693      176,466 
113,317     135,617     113,617     111,246      121,128 


LESSON  CXL. 


(1) 

(2) 

(3) 

(4) 

(5) 

346,146 

146 

347,218 

234,275 

156,432 

148,876 

2,726 

123,793 

128,846 

243,518 

213,946 

14,864 

124,376 

345,342 

6,724 

36,726 

213,843 

154,529 

20,966 

34,156 

3,286 

79,444 

24,133 

3,425 

118,218 

206  SECOND-YEAR    ARITHMETIC. 


(6) 

725,986 
113,424: 

(7) 
636,427 
213,346 

(8) 
415,276 
312,134 

(9) 
346,275 
133,432 

(10) 
543,728 
413,346 

(11) 
275,413 
4,443 

(12) 
896,013 
772,043 

(13) 
316,164 
143,412 

(14) 
359,676 
133,216 

(15) 
498,464 
143,313 

16.  6X7+11X10=  21.  7X8+9X10= 

17.  ^X  8+8x7=  22.  8X11+11X8= 

18.  9X6+7X10=  23.  12x9+9x12= 

19.  9X5+12X7=  24.  7x6+8x12= 

20.  8X12+9X6=  25.  9X6+7X9= 

LESSON  CXLI. 
SUBTRACTION. 

(1)  (2)  (3)  (4)  (5) 

125,128     376,145     456,741     276,464      506,184 
113,149     121,416    127,127    118,418      131,724 


(6)     (7)     (8)     (9)     (10) 

372,054  673,846  276,346  413,416   216,116 
127,146  134,187  181,417  127,119   181,141 


(11)     (12)    (13)     (14)     (15) 

318,416  414,372  373,461  517,286   726,864 
181,181  181,416  148,137  137,138   131,729 


SECOND-YEAR   TEXT-BOOK.  207 

(16)            (IT)           (18)          (19)  (20) 

376,843     416,316     276,616     316,724  256,143 

186,175     184,727     148,133     131,183  127,241 


LESSON  CXLII. 
SUBTRACTION.   * 


(1) 

276,008 
145,101 

(2) 
348,165 
127,159 

(3) 
514,726 
181,154 

W 
400,161 
120,147 

(5) 
356,182 
171,210 

(6). 

678,100 

154,910 

(7) 
127,386 
110,417 

(8) 
576,164 

181,007 

(9) 

637,285 

141,314 

(10) 
414,184 
121,716 

(11) 

554,800 
116,120 

(12) 
725,184 
131,716 

(13) 
327,144 
151,218 

(14) 
710,812 
120,156 

(15) 
325,791 
181,129 

16.  9X8+7X6+5X8= 

17.  3X12+6X9+4X4= 

18.  11X11+4X5+7X2= 

19.  6X4+3X8+5X7= 

20.  8X8+7X4+6X6= 

21.  3X2+8X5+4X1:= 

22.  9X9+3X7+6X2= 

23.  10X10+5X8+6X3= 

24.  7X7+3X9+5X8= 

25.  8X5+11X1+6X10= 


208  SECOND-YEAR    ARITHMETIC. 

26.  7X2+5X6+8X7+3X1= 

27.  6X6+4X4+9X2+7X61= 

28.  5X8+3X7+11X4+6X6=: 

29.  10X10+4X7+3X9+2X2= 

30.  9X7+3X8+4X4+5X4= 

31.  6  Xt>+9x  7+6x5+10x1= 

32.  8X4+6X2+7X3+2X9= 

33.  7X11+3X4+2X9+4X4= 

34.  6X3+5X8+11X3+5X9= 

35.  5X4+3X64-5X7+7X3= 

LESSON  CXLIII. 

1.  7X8+5X9+3X3= 

2.  9X7+8X6+5X2= 

3.  11x5+9x7+4x4= 

4.  8x6+12x5+3x7= 

5.  12X7+8X6+2X6= 

6.  9x8+7x7+9x2= 

7.  10x8+9x5+3^5= 

8.  9X4+12X8+2X7= 

9.  10X6+7X5+5X5= 

10.  8X11+9X4+4X6= 

11.  4X12+12X6+3X7= 

12.  8X11+7X5+2X4= 

13.  9X6+7X8+3X3= 

14.  7X11+8X9+4X2= 

15.  9X6+7X8+5X5= 


SECOND-TEAK   TEXT-BOOK.  209 

16.  5X8+4X9+3X7= 

17.  11X12+12X4+5X2= 

18.  7X3+11X11+4X3= 

19.  9X6+6X5+3X7= 

20.  4X8+8X7+2X6= 

(21)    (22)     (23)     (24)     (25) 
363,517  240,351  345,162  437,216   518,464 
124,121  126,148  127,143  143,182   327,110 


(26)      (27)     (28)     (29) 
313,003   215,412   352,373   518,416 
127,110   131,121   122,416    72,131 


LESSON  CXLIY. 

1.  3X12+3X12+4X12: 

2.  2X12+3X12+3X12: 

3.  4X12+4X12+4X12: 

4.  2X12+2X12+2X12: 

5.  1X12+2X12+1X12: 

6.  1X12+3X12+5X12: 

7.  2X12+2X12+1X12: 

8.  1X12+1X12+1X12: 

9.  2X12+5X12+4X12: 

10.  1X12+3X12+3X12: 

11.  4X11+4XH+3X11: 

12.  2XH+3X11+5X11: 

13.  3X11+5X11+4X11: 


210  SECOND-YEAR   AlilTHMETIC. 

14.  2X11+3X11+4X11= 

15.  1X11+2X11+3X11= 

16.  3X10+2X10+2X10=: 
IT.  2X10+3X10+5X10=: 

18.  3X10+3X10+3X10=: 

19.  2X10+1X10+2X10= 

20.  1X10+5X10+6X10=: 

21.  1X10+2X10+1X10= 

22.  3X10+4X10+1X10= 

23.  2X10+2X10+2X10=: 

24.  1X10+1X10+1X10=. 

25.  3X10+4X10+3X10=1 

26.  2X10+4X10+5X10= 

27.  3X10+4X10+5X10=: 

28.  1X9+1X9+1X9= 

29.  3X9+3X9+3X9= 

30.  2X9+2X9+2X9= 

31.  4X9+4X9+4X9= 

32.  2X9+4X9+2X9= 

33.  3X9+3X9+4X9= 

34.  2X9+1X9+1X9=: 

35.  1X9+2X9+2X9= 

36.  3X9+2X9+2X9= 

37.  4X9+5X9+2X9= 

38.  4X8+3X8+^X8= 

39.  4X8+4X8+3X8= 

40.  2X8+5X8+3X8= 


SECOND-YEAR   TEXT-BOOK.  211 

41.  3X8+2X8+4X8= 

42.  1X8+3X8+4X8= 

43.  2X8+3X8+2X8= 

44.  1X8+2X8+3X8= 

45.  2X8+1X8+2X8= 

46.  1X8+1X8+2X8= 

47.  1X8+1X8+1X8= 

48.  4x7+5x7+3x7= 

49.  2x7+3x7+4x7= 

50.  1x7+3x7+4x7= 

SUBTRACTION. 

(51)  (52)          (53)  (54)  (55) 

3*67,218     738,646     416,067     276,375  570,050 

149,146     133,493     133,819     118,416  133,126 

(56)          (57)  (58)  (59)          (60) 

676.003  116,764  439,376  356,164   518,473 

128.004  31,396  183,727  163,276   125,146 


LESSON  CXLY. 

1.  1x7+1x7+1x7= 

2.  2X7+1X7+1X7= 

3.  1x7+2x7+2x7= 

4.  2X7+2X7+2X7= 
-5.  2X7+2X7+3X7= 
6.  3X7+3X7+2X7= 


212  SECOND-YEAR    ARITHMETIC. 

7.  4X7+4X7+1X7= 

8.  3x7+3x7+4x7= 

9.  2X7+3X7+6X7= 

10.  3X7+3X7+6X7= 

11.  1X6+3X6+1X6= 

12.  3X6+5X6+4X6= 

13.  1X6+1X6+1X6= 

14.  2X6+3X6+4X6= 

15.  1X6+2X6+3X6= 

16.  1X6+1X6+1X6= 

17.  3X6+2X6+2X6= 

18.  4X6+4X6+2X6= 

19.  3X6+3X6+3X6= 

20.  3X6+3X6+2X6= 

21.  1X5+3X5+4X5= 

22.  2X5+2X5+1X5= 

23.  3x5+3x5+5x5= 

24.  1X5+1X5+1X5= 

25.  2X5+3X5+2X5= 

26.  4x5+5x5+3x5= 

27.  1X5+2X5+1X5= 

28.  2X5+3X5+1X5= 

29.  3X5+2X5+4X5= 

30.  3X5+3X5+5X5= 

31.  2X5+3X5+7X5= 

32.  1x4+4x4+5x4= 

33.  2X4+3X4+7X4= 


SECOND-YEAR   TEXT-BOOK.  *  213 

34.  1X4+3X4+5X4=: 

35.  2X4+3X4+3X4= 

SUBTRACTION. 

(36)    (37)     (38)     (39)     (40) 

370,064  414,814  295,004  164,376  557,467 

59,184   37,326  137,106   25,138  138,149 


(41) 

(42) 

(43) 

(44) 

(45) 

726,676 

519,460 

846,827 

337,386 

418,418 

484,359 

39,184 

139,134 

29,147 

137,137 

46. 

47.  Qxy—  5xy= 


49. 
50. 
51. 
52. 
53. 
54. 
55. 


LESSON  CXLYI. 

1.  James  bought  a  book  for  43  cts.,  some  paper 
for  18  cts.,  and  a  slate  for  15  cts.;  how  much  did 
he  pay  for  all  1 

2.  This  class  did  59  examples  Monday  and  87 


SECOND-YEAK     ARITHMETIC. 

examples   Tuesday;  how  many  examples  were 
done  during  the  two  days  ? 

3.  John  bought  4  cts.  worth  of  marbles  at  7 
for  one  cent,  and  3  cts.  worth  at  5  for  one  cent ; 
how  many  marbles  did  he  buy  ? 

4.  A  boy  sold  16  papers  Monday,  18  papers 
Tuesday,  14  papers  Wednesday,  11  papers  Thurs- 
day, 10  papers  Friday,  and  20  papers  Saturday ; 
how  many  papers  did  he  sell  during  the  week  ? 

(5)  (6)  (7)  (8)   ;  (9) 

367,518     227,386     518,466     216,326      346,367 


493 

159,443 

37,518 

95,466 

25,676 

23,614 

276,345 

376 

316,376 

3,918 

293,724 

113,726 

134,415 

254,246 

467 

1,864 

234,376 

217,348 

123,356 

35 

SUBTRACTION. 

(10)               (11)               (12)  (13) 

376,464       254,376       514,376  370,005 

186,137         35,418       133,007  110,006 


(14)  (15)  (16)  (17) 

275,416       416,867       516,004       673,405 
138,125       137,276       184,114       159,156 


(18)  (19)  (20) 

351,646       276,140       376,466 
147,156  .    158,416       173,727 


SECOND-YEAR   TEXT-BOOK.  215 

LESSON  CXLYII. 

1.  12X1  +  13X1+HX1+12X1+16X1+8 

X1+12X1+16X1— 

2.  13X1+14X1+12X1+11X1+10X1+11 

xi+nxi+ioxi= 

3.  12X1+12X1+12X1+12X1+12X1+12 

X  1+12X1+12X1= 

4.  13X1+12X1+11X1+10X1+9X1+8X1 

+7X1+6X1= 

5.  11X1+13X1+15X1+17X1+19X1+21 

Xl+llxl+7xl= 

6.  16X1+15X1+9X1+11X1+8X1+13X1 

+14X1+15X1= 

7.  12X1+13X1+14X1+12X1+13X1+14 

X1+12X1+13X1= 

8.  11X1+10X1+12X1+11X1+8X1+HX 

1+9X1+7X1= 

9.  12X1+12X1+HX1+12X1+13X1+12 

X  l+HXl+12Xl= 

10.  13X1+12X1+11X1+10X1+11X1+12 

X  l+13Xl+12xl= 

11.  12X1+14X1+15X1+16X1+17X1+18 

Xl+17xl+18xl= 

12.  11X1+12X1+13X1+14X1+15X1+16 

Xl+17xl+18xl= 

13.  12X1+13X1+12X1+13X1+12X1+13 

Xl+12xl+13Xl= 


216  SECOND-YEAR    ARITHMETIC. 

14.  14  X  1+14X1+14X1+14-X 1+14X1+H 

X1+14X1+14X1= 

15.  15X1+15X1+15X1+15X1+15X1+15 

X1+15X  1+15X1= 

16.  7X8+5X6+4X4= 

17.  9X3+8X4+7X5= 

18.  8X8+6X6+5X5= 

19.  7X9+6X8+5X3= 

20.  10X6+6X7+3X9= 

21.  8X5+9X4+7X2= 

22.  9X9+5X7+6X4= 

23.  8X7+6X64-3X8= 

24.  7X11+11X3+3X11= 

25.  8X5+9X4+10X3= 

26.  11X6+6X8+3XT= 

27.  9X5+5X8+8X4= 

28.  7X6+6X7+7X6= 

29.  5X12+4X8+3X11= 

30.  9X6+7X3+5X8= 

SUBTRACTION. 

(31)  (32)  (33)  (34)  (35) 

276,643     751,643     646,346     336,185  435,270 

128,153     125,716     187,173     144,217  183,16T 

LESSON  CXLVIII. 

1.  3X12+3X12+3X12= 

2.  4X12+4X12+4X12= 


SECOND-YEAR     TEXT-BOOK.  217 

3.  2X12+2X12+2X12= 

4.  1X12+3X12+7X12= 

5.  2X12+3X12+5X12= 

6.  3X12+3X12+2X12= 

7.  2X12+3X12+2X12= 

8.  1X12+2X12+2X12= 

9.  1X12+1X12+1X12= 

10.  1X12+2X12+1X12= 

11.  2X11+3X11+6X11= 

12.  2X11+3X11+7X11= 

13.  2X11+3X11+5X11= 

14.  3X10+5X10+3X10= 

15.  2X10+3X10+7X10= 

16.  1X10+3X10+6X10= 

17.  3X9+5X9+4X9= 
1.8.  2X9+3X9+5X9= 

19.  3X9+3X9+5X9= 

20.  2x9+3x9+4x9= 

21.  3X9+3X9+2X9= 

22.  2X9+1X9+4X9= 

23.  3X9+1X9+2X9= 

24.  1X9+1X9+3X9= 

25.  2X9+1X9+1X9= 


(26) 

(27) 

(28) 

(29) 

(30) 

335,146 

127,217 

415,014 
133,216 

446,738 

218,375 

514,637 
123,716 

325,791 
106,187 

218  SECOND- YEAR    ARITHMETIC. 


(31) 

(32) 

(33) 

(34) 

(35) 

276,376 

726,938 

286,676 

335,725 

193,761 

149,728 

95,146 

137,158 

144,873 

128,376 

(36) 

(37) 

(38) 

(39) 

(40) 

543,210 

506,709 

297,386 

333,333 

275,186 

123,456 

183,185 

138,487 

123,043 

166,276 

(41) 

(42) 

(43) 

(44) 

(45) 

345,678 

218,617 

514.376 

214,006 

376,413 

134,546 

154,396 

25^413 

73,864 

185,575 

276,375 

376 

115,735 

128,726 

36,656 

145,184 

1,543 

94,366 

35,376 

7,284 

376,354 

245,376 

3,736 

218,444 

966 

LESSON  CXLIX. 

1.  12  X  1+13X1+14X1+15X1+16X1+17 


X 
2.  13X1+13X1+13X1+13X1+13X1+13 


3.  15X1+14X1+15X1+14X1+15X1+14 

Xl+15xl+14xl= 

4.  16X1+HX1+15X1+13X1+12X1+12 

Xl+13Xl+15Xl= 

5.  13X1+14X1+15X1+13X1+11X1+14 

X  l+15xl+13Xl= 

6.  16X1+16X1+13X1+8X1+10X1+9X1 

+13X1+13X1= 


SECOND-YEAK    TEXT-BOOK.  219  * 


X  1+13x1+9x1= 

8.  14X1+15X1+11X1+10X1+9X1+8X1 

+7X1+6X1= 

9.  12  X  1+13X1+MX1+13X1+10X1+13 

X  1+16X1+13X1= 

10.  14  X  1+1TX1+15X1+19X1+16X1+18 

X1+14X1+12X1= 

11.  13X1+14X1+11X1+8X1+9X1+11X1 

+12X1+11X1= 

12.  14X1+9X1+8X1+12X1+9X1+12X1 

+9X1+12X1= 

13.  13X1+12X1+WX1+13X1+12X1+14 

Xl+13Xl+12Xl= 


Xl+14Xl+14Xl= 

15.  9X1  +  10X1+11X1+12X1+13X1+14 

X  1+15x1+16x1  = 

16.  llxl+HXl+llXl+llXl+12Xl+12 

Xl+12Xl+12xl= 

17.  9X1+9X1+10X1+10X1+11X1+11X1 

+12X1+12X1= 

18.  15  X  1+14X1+13X1+12X1+HX1+12 

X  1+13X1+HX.1= 

19.  16  X  1+13X1+15X1+13X1+12X1+13 

Xl+12Xl+13Xl= 

20.  14X1  +  13X1+12X1+11X1+9X1+H 

X1+9X1+12X1= 


220  SECOND-YEAR    ARITHMETIC. 

21.  9X5+6X6+3X3= 

22.  8X7+6X4+4X2= 

23.  7x7+3x8+2x7= 

24.  6X5+4X8+3X4= 

25.  7X4+4X7+7X4= 

26.  8x3+7x6+2x7= 

27.  9X10+5X8+7X3= 

28.  8X8+6X6+3X2= 

29.  7X5+4X3+6X2= 

30.  5X7+7X5+4X4= 

31.  3X9+6X10+7X2= 

32.  8X4+7X3+5X6= 

33.  8X7+6X4+4X4= 

34.  9X5+7X3+2X6= 

35.  6X3+8X5+4X3= 

LESSON  CL. 

1.  James  is  18  years  old  and  his  sister  is  5 
years  younger ;  bow  old  is  liis  sister  ? 

2.  Kate  is  12  years  old  and  her  brother  is  8 
years  older ;  how  old  is  her  brother  ? 

3.  George  shot  an  arrow  12  feet  and  John 
shot  an  arrow  12  times  as  far  as  George  did ; 
how  far  did  John  shoot  the  arrow  ? 

4.  I  bought  7  ounces  of  candy  at  5  cts.  per 
ounce,  and  5  ounces  of  candy  at  6  cts.  per  ounce ; 
how  much  did  I  pay  for  the  candy  ? 


SECOND-YEAR   TEXT-BOOK.  221 

5.  How  many  days  in  6  weeks  ? 

6.  How  many  days  in.  12  weeks  ? 

7.  How  many  days  in  9  weeks  ? 

8.  How  many  weeks  in  7  months  ? 

9.  How  many  weeks  in  9  months  ? 
10.  How  many  months  in  8  years  ? 

11.  9X6+3X7+5X5= 

12.  4X8+8X4+4X8= 

13.  7X6+5X4+9X2= 

14.  6X9+3X8+7X3=  . 

15.  7X7+6X6+3X4= 

16.  9X5+8X7+3X3= 

17.  6X9+8X3+7X2= 

18.  5X11+11X5+5X11=: 

19.  6X4+7X3+2X6= 

20.  8X5+6X7+3X8= 


LESSON  CLI. 

(1) 
764,346 

182,719 

(2) 
646,309 
128,107 

(3) 
375,184 
127,616 

(4) 

814,617 
17^,395 

(5) 
427,643 
182,716 

(6) 
514,608 
137,296 

(?) 
345,678 
181,719 

(8) 
676,764 
138,395 

(9) 
272,646 
137,147 

(10) 

414,314 
185,141 

222  SECOND-YEAB    ARITHMETIC. 


(11) 

(12) 

(13) 

(14) 

(15) 

256,731 

514,613 

313,215 

354,137 

545,354 

184,697 

7,296 

76,384 

128,764 

276,604 

233,383 

53,542 

127,354 

32,356 

135,724 

156,142 

273,420 

215,433 

227,265 

225,424 

113,375 

6,384 

37,666 

33,715 

876,674 

(16) 

(17) 

(18) 

(19) 

(20) 

345,678 

456,789 

213,735 

354,301 

567,843 

138,729 

113,326 

648 

766 

72 

54,843 

254,324 

156,304 

218,403 

432,736 

237,356 

27,636 

275,421 

37,694 

127,544 

112,842 

376 

5,864 

152,061 

376,385 

LESSON  CLIL 

1.  3X12+2X12+2X12=: 

2.  4X12+3X12+1X12= 

3.  2X12+1X12+1X12= 

4.  1X12+1X12+1X12= 

5.  1X12+2X12+2X12= 

6.  3X12+4X12+2X12= 

7.  2X12+1X12+3X12= 

8.  3X12+3X12+4X12= 

9.  2  X'12+3X  12+6X12= 

10.  3X12+3X12+6X12= 

11.  2X11+3X11+2X11= 

12.  1X11+1X11+1X11= 

13.  3X11+3X11+3X11= 


SECOND-YEAR   TEXT-BOOK.  223 

14.  2X11+3X11+5X11  = 

15.  3X11+4X11+5X11= 

16.  2X11+3X11+6X11= 

17.  1X11+3X11+5X11= 

18.  3X10+2X10+5X10= 

19.  5X10+4X10+2X10= 

20.  2X10+3X10+7X10= 

21.  3X10+2X10+4X10= 

22.  1X10+2X10+3X10= 

23.  3X9+1X9+2X9= 

24.  2X9+1X9+1X9= 

25.  1X9+1X9+1X9= 

26.  2X9+2X9+1X9= 

27.  2X9+3X9+2X9= 

28.  1X9+3X9+4X9= 

29.  2X9+3X9+4X9= 

30.  3X9+2X9+5X9= 

31.  2X9+3X9+6X9= 

32.  4X9+5X9+3X9= 

33.  4X8+5X8+2X8= 

34.  3X8+2X8+7X8= 

35.  1X8+3X8+6X8= 

36.  2X8+1X8+6X8= 

37.  3X8+1X8+4X8= 

38.  2X8+1X8+3X8= 

39.  3X8+1X8+3X8= 

40.  2X8+1X8+2X8= 

41.  1X8+2X8+1X8= 


224  SECOND-TEAR    ARITHMETIC. 

42.  1X8+1X8+1X8=: 

43.  3X7+1X7+1X7= 

44.  2x7+3x7+2x7= 

45.  1x7+3x7+5x7= 

46.  1x7+1x7+1x7= 

47.  2x7+3x7+6x7= 

48.  2X7+1X7+1X7= 

49.  3X7+1X7+2X7= 

50.  2x7+3x7+3x7= 
5.1.  2X7+3X7+5X7= 

52.  3X7+3X7+6X7= 

53.  3X6+4X6+5X6= 

54.  2X6+3X6+4X6= 

55.  3X6+5X6+2X6= 

56.  2X6+1X6+4X6= 

57.  3X6+2X6+3X6= 

58.  1X6+1X6+4X6= 

59.  1X6+1X6+3X6= 

60.  2X6+1X6+2X6= 

LESSON  CLIII. 

1.  CMLXY=  11.  2,956: 

2.  MMCMXLYII=  12.  1,001: 

3.  MDCCXCYIII=  13.  3,574: 

4.  MMMCCCXXXIII=  14.  2,437: 

5.  MDCCCLXXXIY=  15.  1,010: 

6.  DCLXIX=  16.  3,333: 

7.  MDLXYI=  17.  4,268: 

8.  MMDCCLIY=  18.  1,616: 

9.  MCDLXX=  19.  2,770: 
10.  MMMCCCXXXITI=  20.  3,013: 


SECOND-YEAR   TEXT-BOOK.  225 

21.  6X9+5X7+3X4=: 

22.  7X7+6X6+3X3= 

23.  8X2+9X5+7X2=, 

24.  6X8+3X7+2X5=: 

25.  7X5+9X6+3X4=: 

26.  8X7+6X4+4X3=: 

27.  7X7+6X6+2X5=: 

28.  3X8+7X*5+4X4=: 

29.  9X5+5X9+3X3— 

30.  10x7+6x6+3  XS- 
SI. 5X8+7X11+6X2= 

32.  8X4+4X8+2X7— 

33.  5X8+4X9+6X3= 

34.  8X7+6X4+4X4=: 

35.  9X5+8X6+3X3— 

36.  7X7+6X6+5X5=: 

37.  8X6+6X7+4X4= 

38.  9X11+11X3+2X11= 

39.  3X10+6X8+7X2=: 

40.  9X6+6X6+3X4=: 

LESSON  CLIY. 

1.  I  bought  3  packs  of  firecrackers  at  8  cts. 
a  pack,  and  4  papers  of  torpedoes  at  7  cts.   a 
paper  ;  how  much  did  I  pay  for  all  ? 

2.  How  many  marbles  at  3  for  one  cent  can  be 
bought  for  1 2  cents  ? 


226  SECOND-TEAR   ARITHMETIC. 

3.  William  lias  65  cents  and  Charles  has  78 
cents  more  than  William  ;  how  many  cents  have 
both  boys  ? 

4.  How  many  in  9  dozen  ? 

5.  How  many  pecks  in  7  bushels  ? 

6.  11X1+12X1+13X1+14X1+15X1+13 

X1+15X1+13X1= 

7.  15X1+14X1+13X1+12X1+HX1+10 

X  1+9X1+SX1= 

8.  21X1  +  16X1+8X1+13X1+14X1+15 

Xl+llXl+12xl= 

9.  13X1+13X1+14X1+14X1+15X1+15 

X  1+16x1+16x1=: 

10.  18Xl+15Xl+13Xl+18xl+llXl+16 

xi+ioxi+nxi= 

11.  12  X  1+14X1+12X1+17X1+13X1+17 


12.  13X1+13X1+11X1+16X1+13X1+11 

X  1+12X1+13X1= 

13.  16X1+12X1+14X1+15X1+14X1+12 

X1+13X1+14X1= 

14.  17  X  1+11X1+13X1+14X1+15X1+10 

X1+14X1+15X1= 

15.  14X1+10X1+12X1+13X1+16X1+11 

X 

16.  12X 

X  1+16X1+17X1= 


8ECOND-YEAK    TEXT-BOOK.  227 

17.  13  X  1  +11  X  1+10  X  1+10  X  1+18  X  1+13 

Xl+17xl+18xl=: 

18.  18xl+16xl+9xl+18Xl+19Xl+i4: 


19.  14X1  +  15X1+8X1+16X1+20X1+15 

X  l+HXl+15xl=: 

20.  16  X  1+HX1+17X1+13X1+21X1+11 

X1+12X1+16X1=: 

21.  11  X  1+13X1+16X1+12X1+22X1+12 

Xl+13Xl+17xl=: 

22.  12x1+12x1+15x1+11X1+23x1+11 

' 


23.  14  X  1+11 X 1+14  X 1+12  X 1+11 X 1+12 

X  1+15x1+19x1= 

24.  18X1+10X1+13X1+HX1+11X1+13 

X  1+16X1+HX1= 

25.  13xl+15xl+12xl+14Xl+llXl+12 

Xl+lYX  1+13x1= 

LESSON  CLY. 

(1)      (2)     (3)      (4)      (5) 
326,731  456,789  200,257  116,876   356,160 
184,167  376,198  146,137  114,917   184,437 


(6)     (7)     (8)     (9)     (10) 
437,126  566,676  514,376  320,006   250,676 
187,299  187,696  182,767  166,861   184,395 


228  fcECOND-YEAR    ARITHMETIC. 


(11) 

225,646 
183,729 

(12) 
304,403 
130,304 

(13) 
275,186 
183,945 

(14) 
'430,764 

184,277 

(15) 
567,309 
183,729 

(16) 
100,100 
90,146 

(17) 
256,555 
127,676 

(18) 
333,333 

276,138 

(19) 
222,264 
184,137 

(20) 
555,434 

127,296 

21.  9X6+8X7=  26.  9x6+10x7= 

22.  8X9+7X6=  27.  11x8+8x11= 

23.  9X5+8X8=  28.  12x6+7x10= 

24.  7x6+10x8=  29.  12X6+11X5= 

25.  11X5+8X4=  30.  9x9+7x7= 

LESSON  CLYI. 


(1) 

(2) 

(3) 

(4) 

(5) 

376,685 

140,914 

214,843 

333,333 

123,543 

194,728 

176,387 

37,676 

638 

376,209 

336 

215,064 

2,984 

275,140 

108,733 

1,276 

113,817 

196 

2,582 

266,364 

225,843 

346,309 

76 

123,456 

335,821 

11.  7X6+6X5+3X4= 

12.  8X6+6X7+5X3= 

13.  7X9+8X4+3X2= 

14.  6x6+8XlO+2x-5= 

15.  9X7+6X6+6X3= 

16.  8X10+7X6+6X2= 

17.  7x11+11X5+4x4= 


SECOND-YEAR   TEXT-BOOK. 

18.  3X9+8X12+4X2= 

19.  7X6+6X7+3X5=: 

20.  3X11+12X9+2X10= 

21.  9X6+6X5+8X4= 

22.  8X7+10X4+6X3= 

23.  9  x;5+!OX  11+3x3= 

24.  7X6+9X12+4X2= 

25.  8X11+11X5+7X3= 

LESSON  CLYII. 

1.  3X12+4X12+5X12= 

2.  2X12+4X12+5X12= 

3.  3X12+3X12+4X12= 

4.  2X12+3X12+4X12= 

5.  1X12+2X12+5X12= 

6.  2X12+3X12+2X12= 

7.  2X12+1X12+3X12= 

8.  2X12+1X12+2X12= 

9.  1X12+2X12+1X12= 

10.  1X12+1X12+1X12= 

11.  2X11+3X11+7X11= 

12.  3X11+1X11+7X11= 

13.  2X11+2X11+6X11= 

14.  1X11+2X11+6X11= 

15.  3X11+1X11+4X11= 

16.  2X11+2X11+3X11= 

17.  1X11+2X11+3X11= 

18.  2X11+1X11+2X11= 


230  SECOND-YEAR    ARITHMETIC. 

19.  1X11+1X11+2X11= 

20.  1X11+1X11+1X11= 

21.  3X10+1X10+8X10= 

22.  2X10+1X10+6X10= 

23.  2X10+3X10+7X10= 

24.  lx  10+4x10+5x10= 

25.  2X10+2X10+7X10= 

26.  2X10+3X10+3X10= 

27.  2X10+3X10+2X10= 

28.  1X10+2X10+1X10= 

29.  2X10+3X10+1X10= 

30.  1X10+2X10+2X10= 
-  31.  3X9-L2X9+7X9= 

32.  2X9+4X9+5X9= 

33.  3X9+3X9+3X9= 

34.  2X9+3X9+4X9= 

35.  3X9+1X9+4X9= 

36.  1X9+3X9+3X9= 

37.  2X9+2X9+2X9= 

38.  1X9+2X9+2X9= 
.  39.  1X9+2X9+1X9= 

40.  1X9+1X9+1X9= 

41.  3X8+4X8+5X8= 

42.  2X8+1X8+8X8= 

43.  2X8+2X8+6X8= 

44.  2X8+3X8+4X8= 

45.  1X8+2X8+5X8= 

46.  2X8+1X8+4X8= 


SECOND-YEAR  TEXT-BOOK.          231 

47.  1X8+2X8+3X8= 

48.  2X8+2X8+1X8=: 

49.  1X8+1X8+1X8= 

50.  2X8+1X8+1X8= 

51.  3X7+1X7+8X7= 

52.  1x7+1x7+9x7= 

53.  2X7+6X7+2X7= 

54.  1x7+3x7+5x7= 

55.  2x7+5x7+1x7= 

56.  1X7+5X  7+1x7=  • 

57.  2x7+2x7+2x7= 

58.  1x7+3x7+1x7= 

59.  2X7+4X7+2X7= 

60.  1X7+1X7+2X7= 

LESSON  CLYJII, 

1.  James  ate  6  apples  on  Monday,  4  apples 
Tuesday,  3  apples  Wednesday,  5  apples  Thurs- 
day, 6  apples  Friday,  4  apples  Saturday,  and  9 
apples  Sunday;  how  many  apples   did   he  eat 
during  the  week  ? 

2.  There  are  9  boys  in  each  of  8  rows ;  how 
many  boys  in  the  8  rows  ? 

3.  I  bought  9  cents'  worth  of  marbles  at  5  for 
one  cent ;  how  many  marbles  did  I  buy  ? 

4.  Lucy  bought  a  book  for  65  cts.,  a  slate  for 
15  cts.,  and  an  eraser  for  9  cts.;  how  much  money 
did  she  spend  ? 


232  SECOND-YEAK    ARITHMETIC. 

5.  How  much  change  should  she  receive  from 
one  dollar  ? 

6.  8X7+6X10+9X2= 

7.  TX§+8X4+6X3= 

8.  9X4+7  X 6+3x5= 

9.  8X9+5X7+6X2= 

10.  7X11+6X5+2X5= 

11.  8X7+7X6+3X4= 

12.  9X4+3X11+2X7= 
13.'6X6+5X5+3X3= 

14.  7X11+6X3+4X4= 

15.  9X5+8X7+5X2= 

16.  7X6+6X7+3X4= 

17.  3X9+12X5+4X2= 

18.  9X5+8X4+3X7= 

19.  6X6+5X8+4X2= 

20.  7X6+6X3+5X2= 

21.  9X7+8X4+3X3= 

22.  5X7+6X9+5X10= 

23.  8X4+4X3+3X4= 

24.  7X2+9X5+2X3= 

25.  9X7+6X6+3X4= 

26.  8x7+5x10+5x3= 

27.  7X7+8X8+6X3= 

28.  8X10+7X5+4X3= 

29.  7X6+12X7+2X3= 

30.  9X5+8X8+3X3= 


SECOND-YEAR   TEXT-BOOK. 

LESSON  CLTX. 


233 


(1) 

(2) 

(3) 

(4) 

(5) 

327,666 

504,700 

276,675 

416,256 

314,273 

183,729 

133,116 

184,317 

181,176 

124,281 

(6) 

CO 

(8) 

C>) 

(10) 

600,600 

128,735 

273,005 

345,627 

724,133 

131,124 

6,148 

1,164 

181,183 

183,273 

(11) 

(12) 

(13) 

(14) 

(15) 

326,483 

146,182 

246,802 

114,276 

235,549 

141,273 

127,293 

135,791 

152,726 

183,243 

27,155 

315,106 

248,109 

133,346 

127,169 

213,273 

124,413 

113,213 

213,416 

345,813 

333 

133,724 

213,746 

113,186 

224,349 

16.  48X1+56X1= 

17.  35X1+81X1= 

18.  77X1+64X1= 

19.  55x1+70x1= 

20.  42X1+72X1= 

21.  48X1+99X1= 

22.  35X1+76X1= 

23.  96X1+32X1= 


24.  72x1+88x1: 

25.  35X1+72X1: 

26.  50X1+56X1: 

27.  56X1+49X1: 

28.  81X1+T2X1: 

29.  66X1+99X1: 

30.  80X1+54X1= 


LESSON  CLX. 

1.  13X1+13X1+14X1+14X1+10X1+13 
X1+15X1+16X1= 


234  SECOND-YEAR    ARITHMETIC. 

2.  12  X  1  +14 X  1+  16 X*+18X  1+20X1+22 

xi+nxi+ioxi= 

3.  13X1+11X1+14X1+11X1+15X1+H 

X  1+16X1+HX1= 

4.  12X1+12X1+12X1+12X1+12X1+12 

X1+12X1+12X1= 

5.  14X1+14X1+14X1+14X1+14X1+14 

Xl+14xl+14Xl= 

6.  15xl+15xl+15xl+15Xl+15xl+15 

X  1+15x1+15x1= 

7.  16X1+16X1+16X1+16X1+16X1+16 

X  1+16x1+16x1= 

8.  6X1+7X1+8X1+9X1+10X1+11X1+ 

12X1+13X1= 

9.  8X1+9X1+10X1+11X1+12X1+13X1 

+14X1+15X1= 

10.  11X1+15X1+16X1+HX1+18X1+12 

Xl+llXl+12Xl= 

11.  13X1+15X1+16X1+HX1+16X1+12 

X1+15X1+14X1= 

12.  14X1+13X1+15X1+16X1+14X1+13 

Xl+15xl+16xl= 

13.  12  X  1+12X1+14X1+UX1+16X1+16 

Xl+18Xl+18xl= 

14.  11*1+10x1+9x1+8x1+11X1+10x1 

+9X1+8X1= 

15.  15  X  1+11X1+15X1+12X1+15X1+13 

X1+14X1+15X1= 


SECOND-YEAR    TEXT-BOOK.  235 

16.  13X1+HX1+11X1+13X1+13X1+11 

X  1+11X1+11X1=: 

17.  15X1+14X1+13X1+12X1+HX1+15 

X  1+14X1+UX1= 

18.  9X1+8X1+7X1+9X1+8X1+7X1+9 


19.  8  X  1+11X1+9X1+10X1+7X1+12X1 

+8X1+11X1= 

20.  13  X  1+15X1+17X1+19X1+13X1+17 

X  1+19X1+15X1= 

31.  16  X  1+15X1+14X1+13X1+13X1+15 
Xl+17xl+16Xl= 

22.  21  X  1+20X1+19X1+18X1+17X1+16 

X1+15X1+14X1= 

23.  17  X  1+17X1+17X1+17X1+17X1+17 

Xl+17xl+17xl= 

24.  9  X  1  +  9  X  1+9X1+9X1+9X1+9X1+ 

9X1+9X1= 

25.  8  X  1+9X1+8X1+9X1+8X1+9X1+8 

X1+9X1= 

26.  14X1+15X1+HX1+12X1+13X1+16 

Xl+13Xl+12Xl= 

27.  7X1+8X1+9X1+9X1+9X1+8X1+8 

X1+8X1= 

28.  16X1+13X1+9X1+8X1+15X1+HX1 

+9X1+9X1= 

29.  12X1+13X1+14X1+15X1+16X1+17 

Xl+18Xl+19Xl= 


SECOND-YEAR    ARITHMETIC. 

30?  15X1+16X1+16X1+16X1+16X1+16 

X1+16X1+16X1= 

NOTE.— If  the  class  can  do  more  work  during  the  year, 
give  examples  in  algebra— after  the  form  contained  in  pre. 
vious  lessons. 


-THE  SCHOOL  BULLETIN  PUBLICATIONS.- 


Helps  in  Teaching  Arithmetic, 

1.  First  Steps  Among  Figures.    A  drill  book  in  the  Fundamental  Rules 
of  Arithmetic.    By  LEVI  N.  BEEBE.    Cloth,  16mo,  3  editions.    Pupils' Edition. 
pp.  140,  45  cts.    Oral  Edition,  pp.  139,  50  cts.     Teachers'  Edition,  including  all 
in  both  the  others,  with  additional  parallel  matter,  Index,  and  Key,  pp. 
326,  $1.00. 

2.  The  Pestalozzian  Series  of  Arithmetics.    Teacher's  Manual  and  First- 
Year  Text-Book  for  pupils  in  the  first  grade.     Based  upon  Pestalozzi's 
method  of  teaching  Elementary  Number.    By  JAMES  H.  HOOSE.     Boards, 
16mo,  2  editions.    Pupils'  Edition.,  pp.  156,  35  cts.     Teacher's  Edition,  con- 
taining the  former,  with  additional  matter,  pp.  217,  50  cts. 

•J  3.  The  Word  Method  in  Number.  A  series  of  45  Cards,  on  which  are 
printed  all  the  possible  Combinations  of  Two  Figures.  lu  box.  By  H.  R. 
SANFORD.  Size  3*4x6  inches.  Price  50  cts. 

It.  A  Work  in  Number  for  Junior  Classes-  in  Graded  Schools.  By  MARTHA 
ROE.  Cloth,  16mo,  pp.  116.  Price  50  c*- 

5.  Intermediate  Problems  in  Arithmetic  for  Junior  Classes;  containing 
more  than  2,000  problems  in  Fractions,  Reduction,  and  Decimals.    By  EMMA 
A.  WELCH.    Cloth,  16mo,  pp.  96.    Price  50  cts. 

6.  The  Regents'  Questions  in  Arithmetic,  being  the  1293  questions  given 
rit  the  first  50  examinations  held  by  the  Regents  of  the  University  of  the 
State  of  New  York.    Manilla,  16mo,  pp.  93.    25  cts.    Key,  25  cts.    The  same 
on  Card-Board  Slips,  in  Box.,  with  Key,  $1.00. 

7.  Dime  Question  Book,  No.  IS,  Arithmetic.    By  ALBERT  P.  SOUTHWICK, 
Paper,  16mo,  pp.  39.    Price  10  cts. 

8.  A  Manual  of  Suggestions  for  Teaching  Fractions,  especially  designed 
to  accompany  a  Fractional  Apparatus  for  developing  the  Idea  of  Fractions. 
ByW.  W.DAVIS.    Paper,  16mo,  pp.  43.    Price  25  cts.    Price  of  the  Appa- 
ratus, net,  $4.00. 

9.  The  SO  Possible  Pivblems  of  Percentage,  embracing  a  full  and  exhaust" 
ive  discussion  of  the  Theory  of  General  Percentage,  with  100  illustrative  ex- 
amples.   By  W.  H.  BRADFORD.    Manilla,  16mo,  pp.  34.    Price  25  cts. 

^  10.  Latitude  and  Longitude,  and  Longitude  and  Time.  Embracing  a 
comprehensive  discussion,  with  over  100  illustrative  questions  and  exam- 
ples. By  J.  A.  BASSETT.  Manilla,  16mo,  pp.  42.  Price  25  cts. 

11.  The  International  Date-Line,  or  Where  does  the  Day  Begin?    By 
HENRY  COLLINS.    Paper,  16mo,  pp.  15.    Price  15  cts. 

12.  A  Manual  of  Mensuration,  for  use  in  Common  Schools  and  Acade- 
mies.   By  H.  H.  BUTTON.    Boards,  16mo,  pp.  150.    Price '50  cts. 

IS.  Number  Lessons,  somewhat  after  the  Grube  Method,  giving  on  one 
side  the  combinations  of  the  digits,  and  on  the  other  an  unlimited  series  of 
drill-exercises.  Heavy  card-board,  10x11  inches.  Rice  10  cts. 

14.  Age- Cards,  containing  9  columns  of  figures,  to  determine  a  person's 
age  by  adding  the  top  numbers  of  those  columns  in  which  the  number  repre- 
senting the  person's  age  is  found.    Heavy  card-board,  4x6.    Price  10  cts. 

15.  Cube*Boot  Blocks,  carried  to  3  places.    Size  3  inches,  in  box.    $1.00. 

16.  Numeral  Frames,  with  100  Colored  Balls,  $1.25;  with  150  Colored 
Balls,  $1.50. 

17.  Algebra  for  Beginners.    By  O.  S.  MICHAEL.    Cloth,  16mo,  pp.  220. 
Price  75  cts. 

C.  W.  BARDEEN,  Publisher,  Syracuse,  N.  Y. 


-  THE  SCHOOL  BULLETIN  PUBLICATIONS.  - 

Specialties  in  Arithmetic, 

I.  Intermediate  Problem*  in  Arithmetic  for  Junior  Classes,"  containing 
more  than  4000  problems  in  Fractions,  Reduction,  and  Decimals.    By  EMMA 
A.  WELCH.    Cloth,  16mo,  pp.  172.    Price  75  cts.    Key  to  Part  II,  pp.  30,  50  cts. 

In  Syracuse  and  many  other  large  schools,  this  takes  the  place  of  the 
small  arithmetics  in  common  use,  forming  with  any  larger  or  "  practical  " 
arithmetic  a  complete  two-book  series.  The  results  obtained  are  in  every 
instance  far  above  those  reached  by  the  ordinary  text-book.  For  city  and 
graded  schools  no  other  collection  of  problems  will  compare  with  these  in 
practical  value  and  satisfactory  results. 

S.  A  Work  in  Number  for  Junior  Classes  in  Graded  Schools.  By  MARTHA 
EOE.  Cloth,  16mo,  pp.  116.  Price  50  cts. 

This  is  similar  to  the  above,  and  was  prepared  expressly  for  the  Cort- 
land  State  Normal  School. 

S.  The  SO  Possible  Problems  in  Percentage,  embracing  a  full  and  exhaust- 
ive discussion  of  the  Theory  of  General  Percentage,  with  100  illustrative  ex- 
amples. By  W.  H.  BRADFORD.  Manilla,  16mo,  pp.  34.  Price  25  cts. 

A.  Latitude  and  Longitude,  and  Longitude  and  Time.  Embracing  a  com- 
prehensive discussion,  with  over  100  illustrative  questions  and  examples. 
By  J.  A.  BASSETT.  Manilla,  16mo,  pp.  42.  Price  25  cts. 

5.  Metric  Tables  and  Problems:    a  comprehensive  drill  in  the  Metric 
System,  with  175  Problems  and  Answers.    By  OSCAR  GRANGER.    Manilla,  16 
mo,  pp.  23.    25  cts. 

6.  The  International  Date-Line,   or  Where  does  the  Day  Begin?     By 
HBNBY  COLLINS.    Paper,  16mo,  pp.  15.    Price  15  cts. 

7.  A  Manual  of  Mensuration,  for  use  in  Common  Schools  and  Acade- 
mies.   By  H.  H.  HUTTON.    Boards,  16mo,  pp.  150.    Price  50  cts. 

These  five  books  treat  exhaustively  and  with  abundant  illustration  those 
features  of  arithmetic  that  are  so  often  the  occasion  of  difficulty.  It  is 
characteristic  of  good  teaching  to  make  the  weak  places  strong,  and  thes« 
books  will  make  pupils  surest  just  where  the  average  pupil  is  most  uncertain. 

8.  Algebra  for  Beginners.    By  O.  S.  MICHAEL.    Cloth,  16mo,  pp.  120. 
Price,  75  cts. 

A  remarkably  simple  presentation  of  the  subject,  that  may  be  used  with 
profit  in  every  beginning  class. 

9.  Number  Lessons,  somewhat  after  the  Grub6  Method,  giving  on  on* 
side  the  combinations  of  the  digits,  and  on  the  other  an  unlimited  series  of 
drill-exercises.    Heavy  card-board,  10x11  inches.    Price  10  cts. 

10.  Age-  Cards,  containing  9  columns  of  figures,  to  determine  a  person'^ 
age  by  adding  the  top  numbers  of  those  columns  in  which  the  number  repre- 
senting the  person's  age  is  found.    Heavy  card-board,  4x6.    Price  10  cts. 

II.  The  Regents'*  Questions  in  Arithmetic,  containing  the  4293  questions 
given  from  1806  to  1882.    Manilla,  16mo,  pp.  93,  25  cts.    Key,  pp.  20,  25  cts. 


^1F°  The  Arithmetic  Questions  on  Slips  are  no  longer  published. 

12.    Dime  Question  Book,  No.  18,  Arithmetic.    By  ALBERT  P.  SOUTHWI 
per,  16mo,  pp.  39.    Price  10  cts.  ij 

C.  W.  BARDEEN,  Publisher,  Syracuse,  N.  Y. 


•  THE  SCHO  OL    S  ULLETIN  PUBLIC  A  TIONR,- 


The  Badger  Primary  Table. 


This  table  is  designed  to  facilitate  the  teaching  to  primary  scholars  of 
word  and  sentence  making  and  the  rudiments  of  arithmetic. 

It  is  about  eight  feet  long  and  two  feet  wide,  made  of  wood  supported  by 
iron  legs,  having  in  each  section  a  series  of  twenty  cups  or  receptacles,  and 
twelve  movable  wire  standards  for  holding  objects.  Between  the  cups  and 
the  wire  standards  are  grooves  for  holding  arithmetical  words  and  signs. 

It  has  a  removable  top  ruled  in  inch  squares,  which  serves  as  a  conven- 
ient substitute  for  the  ordinary  ruled  table,  made  for  the  use  of  blocks, 
splints,  letters  and  words,  in  word  and  sentence  building. 

Under  the  cover  are  five  square  spaces,  employing  five  children  at 
once.  Each  space  contains  five  square  and  twenty  cup-like  receptacles  for 
the  articles  found  in  the  drawer,  besides  an  oblong  curved  hollow  for  wire 
rods.  Between  the  cups  across  the  table  from  right  to  left  are  grooves  for 
receiving  printed  cards  bearing  arithmetical  words  and  signs,  and  between 
the  grooves  running  from  front  to  back  are  holes  in  which  wires  for  hold- 
ing objects  may  stand.  The  drawer  of  the  stand  is  divided  into  compart- 
ments, well  filled  with  marbles,  buttons,  small  spools,  printed  cards,  small 
slates,  and  other  apparatus  for  work.  The  drawer  also  contains  a  box  of 
printed  words  and  letters  for  the  construction  of  sentences  and  words, 
as  well  as  a  handsome  clock  dial,  by  means  of  which  time  may  be  easily 
taught.  The  clock  dial  has  a  wooden  phi  in  the  frame  by  which  it  stands 
upright  in  the  table. 

It  is  surprising  how  soon  the  smallest  child,  if  you  put  three  articles  in 
a  cup,  will  place  just  that  number  in  the  next  cup  if  so  required.  Or  if  you 
thread  a  given  number  of  spools  on  a  wire,  he  will  readily  place  a  similar 
number  on  another.  Then  if  you  put  three  in  one  cup  and  two  in  another, 
and  direct  him  to  put  in  a  third  cup  as  many  as  there  are  in  the  other  two, 
you  advance  to  Addition.  The  success  of  such  simple  methods  is  only  real- 
ized by  those  who  have  made  experiments  with  this  apparatus,  and  the 
Tariety  of  work  that  may  be  performed  is  astonishing. 

PRICK:  ONE  Section,  $8.00:  THREE  Sections,  $15.00;  FIVE  Sections,  $22  00 

C.  W.  BARDEEN,  Publisher,  Syracuse,  N.  Y. 


•THE  SCHOOL  BULLETIN  PUBLICATIONS.- 


Useful  Appliances  in  Arithmetic. 

1.  The  Word  Method  in  Number.    A  series  of  45  Cards,  on  which  are 
printed  all  the  possible  Combinations  of  Two  Figures.    In  box.    By  H.  K. 
SANFORD,  Institute  Conductor.    Size  3J4  x  6  inches.    Price  50  cts. 

These  cards  need  only  to  be  seen,  as  the  principle  is  familiar  and  ac- 
cepted. The  type,  in  written  figures,  is  large  enough  to  be  seen  across  the* 
room,  and  the  combination  on  one  side  is  given  in  reversed  order  on  the- 
other,  so  that  as  the  teacher  holds  the  card  before  him  he  knows  the  figures 
presented  to  the  class.  The  pupil  is  taught  to  look  upon  the  combination. 
4  +  9  as  Itself  13,  not  as  "4  and  9  are  13,"  just  as  he  looks  upon  DOG  as  an 
entire  word,  not  as  D-O-G.  Success  is  certain  if  new  combinations  are  in- 
troduced only  after  those  already  given  are  thoroughly  learned.  Reviews 
should  be  constant. 

2.  A  Fractional  Apparatus.    By  W.  W.  DAVIS.    A  box  of  eight  wooden 
balls,  three  and  one-half  inches  in  diameter,  seven  of  which  are  sawn  into 
2,  3,  4,  6,  8,  9,  and  12  parts  respectively,  while  the  eighth  is  left  a  sphere* 
Price  $4.00. 

With  this  apparatus  every  principle  and  rule  can  be  developed,  and  the 
pupils  can  be  led  to  deduce  rules  for  themselves. 

Many  other  expedients  are  resorted  to,  but  they  are  all  objectionable. 
Suppose  a  teacher  takes  a  stick  and  breaks  it  in  the  middle,  will  the  pupii 
perceive  two  halves  of  a  stick  or  two  sticks?  In  teaching  fractions  object- 
ively, that  should  be  taken  for  unity  from  which  if  a  part  is  taken  unity  i* 
destroyed.  This  is  not  the  case  with  a  stick  or  cube.  Apples  are  objection- 
able for  three  reasons  ;  first  because  they  cannot  always  be  obtained ;  sec- 
ond because  they  are  perishable;  and  third,. because  the  attention  of  the 
pupils  is  diverted  by  a  desire  to  know  whether  they  are  sweet  or  sour,  etc. 
Nor  can  the  teacher  readily  saw  wooden  balls  into  divisions  even  enough  for 
the  purpose  designed,  the  charm  of  this  method  being  the  exact  presentation 
to  the  pupil's  eye  of  the  fact  illustrated. 

S.  A  Manual  of  Suggestions  for  Teaching  fractions  especially  designed 
for  accompanying  the  above  apparatus.  By  W.  W.  DAVIS.  Paper,  12mo, 
pp.43.  25  cts.- 

This  accompanying  manual  gives  probably  the  best  arrangement  of  the 
subject  into  sixty  lessons  ever  made,  with  practical  suggestions  which  all 
teachers  will  find  valuable. 

A.     Cube  Root  Slocks,  carried  to  Three  Places.    In  box.    $1.00. 

Our  blocks  are  unusually  large,  the  inner  cube  being  two  inches,  and  the 
additions  each  one-half  inch  wide. 

5.    Numeral  Frame,  with  100  balls,  $1.25 ;  with  144  balls,  $1.50. 

"Initiate  children  to  arithmetic  by  means  of  the  ball  frame  alone,  there' 
by  making  their  elementary  instruction  a    ' 
their  own  daily  observation,"  says  Laurie, 
Instruction  (p.  112),  and  as  he  leaves  the  subj 
note  (p.  117),  as  if  in  fear  he  had  not  been  sufficiently  emphatic : 

"  The  teaching  of  arithmetic  should  be  begun  earlier,  than  is  customary, 
end  always  with,  the  ball-frame." 

C.  W.  BARDEEN,  Publisher,  Syracuse,  N.  JT. 


School  Bulletin   Publications 


NOTE.— BINDING  is  indicated  as  follows  :  B  boards,  C  cloth,  L  leatherette, 
M  manilla,  P  paper.  SIZE  as  follows  :  8:416  indicates  8vo,pp.  U16;  12:393  in- 
dicates 12mo,  pp.  393  ;  16:389  indicates  16mo,  pp.  389.  Numbers  preceding  the 
binding  and  size  give  the  pages  in  the  Trade  Sale  catalogue  on  which  the 
books  are  described. 

Books  starred  may  be  had  also  in  the  Standard  Teachers'  Library, 
manilla  binding,  at  50  cts.  each.  Unless  expressly  ordered  to  be  sent  in  this 
binding,  such  volumes  are  always  sent  in  cloth. 

A  DAY  of  My  JLif  e,  or  Everyday  Experiences  at  Eton.    22  C  16:184. ...  $1  00 
Ackerman  (Mrs.  M.  B.)  Review  Questions  to  accompany  Hendrick's  His- 
tory of  the  Empire  State.    45  P  12:15 05 

Adams.    Wall  Map  of  the  State  of  New  York,  68x74  inches,  41  C 5  00 

Aim  (F.)    Method  of  Learning  the  Dutch  Language.    38  C  12:135 1  25 

Aids  to  School  Discipline.    Per  box    47 125 

Supplied  separately;  per  100  Merits,  15  cts.;  Half  Merits,  15  cts.; 
Cards,  15  cts.;  Checks,  40  cts.;  Certificates,  50  cts. 

Air  Test  Bottles.    Per  set  of  3,  in  cloth  case 1  00 

Alden  (Joseph).    First  Principles  of  Political  Economy.    43  C  16:153 75 

Alexandrow  (F.)    Method  of  Learning  Russian.     38  C  12:135 1  25 

Key 25 

Arabic  Self-Taught.    38  C  12:104 1  25 

-  Arnold  (Thomas).    Stanley's  Life  of,  J.  S.  Carlisle.    15,  17  C  16:252. ...  1  00 
Ascham  (Roger).    Sketch  of,  by  R.  H.  Quick.    17  P  16:55 15 

—  *  Biography,  by  Samuel  Johnson.    15. 17  C  16:252 1  00 

—  Complete  Works.    17  C  16:,  321,  273,  376,  374    4  vols 5  00 

BALL,  (J.  W.)    1000  Questions-and-Answers  in  Drawing.    41,  46  L  16:67.  40 

—  Instruction  in  Citizenship.    L  12:63 40 

Barbera  (Piero).    Educational  Publications  in  Italy.    17,  37  P  8:14 15 

Bardeen  (C.  R.)    Infection  and  Immunity.    P  8:20 25 

—  (C.  W.)    *  Manual  of  School  Law.    43  C  16:276 100 

—  Geography  of  the  Empire  State.    40,  43  C  8:120 75 

—  *  Roderick  Hume.  The  Story  of  a  New  York  Teacher.  15,  22  C  16:295  1  25 

—  The  Little  Old  Man,  or  the  School  for  Illiberal  Mothers.    15  C  16:31 ...  50 
-  Verbid  Pitfalls.    A  manual  of  1500  misused  words.    26,  37  C  16:223. .  75 

—  The  Tax-Payer  and  the  Township  System.    25  P  8:20 25 

—  Teaching  as  a  Business  for  Men.    25  P  8:20 25 

The  Teacher's  Commercial  Value.    25  P  8:20 25 

—  T he  Teacher  as  He  Should  Be.    25  P  8:24 25 

Effect  of  the  College-Preparatory  High  School.    24  P  8:5 15 

—  History  of  EducationalJournalism  in  New  York.    17,  25,  43  P  8:45...  40 

—  The  Song  Budget.    29  P  small  4:76 15 

The  Song  Century.    29  P  small  4:87 15 

The  Song  Patriot.    29  P  small  4:80 15 

The  Song  Budget  Series  Combined.    29  C  4:250 50 


Barnard  (Henry).    American  Journal  of  Education.    Vols.  I-V,  VIII, 

IX,  XVI,  XVII,  XXIII,  XXIX.    Each,  Half-turkey,  8:  about  800. .  .$5  50 

Letters,  Essays,  Thoughts  on  Studies  and  Conduct.    C  8:552 3  50 

Kindergarten  and  Child  Culture  Papers,  etc.    G  8:784 3  50 

American  Pedagogy.    C  8:510 3  50 

Military  Systems  of  Education.    C  8:960 550 

T he  Ed'l  Labors  of,  by  Will  S.Monroe.    23L16:35 50 

(H.)     Oral  Training  Lessons.    29  C  12:136 75 

Basedow  <J.  B.)    Sketch  of,  by  R.  H.  Quick.    17  P  16:18 15 

Basse tt  (J.  A.)    Latitude,  Longitude  and  Time.    30,  33,  40  M  16:42 25 

Bates  (S.  P.)    Methods  of  Teachers' Institutes.    28012:76 60 

Batsdorf  (J.  B.)    The  Management  of  Country  Schools.    25,  27  P  8:33. ...      20 

Beebe  (Levi  N.)    First  Steps  among  Figures.    30,  31  C  16:326 1  00 

Pupil's  Edition.    C  16:140 45 

Beesau  (Amable).    The  Spirit  of  Education.    C  16:325,  and  Portrait. ...  1  25 

Bell  (Andrew).    An  Old  Educational  Reformer.    17  C  16:182 1  00 

Bennett  (C.  W.)    National  Education  in  Europe.    25  P  8:28 15 

—  History  of  the  Philosophy  of  Pedagogics.    17,  21  L  16:43 50 

Binner  (Paul).     Old  Stories  Retold.    34  B  16:64 25 

Blakely  (W.  A.)    Chart  of  Parliamentary  Rules.    37  P  16:4 25 

Bradford'  (W.  H.)     Thirty  Possible  Problems  in  Percentage.    30  M  16:34.      25 

Briggs  (F.  H.)    Boys  and  How  to  Re- Make  them.    25  P  8:24 25 

Industrial  Training  in  Reformatory  Institutions.    25  P  8:24 25 

Bristol  (H.  C.)    Honesty  Cards  in  Arithmetic.    28,30    50  cards,  3x4J^...      50 

Browne  (M.  Frances).    A  Glimpse  of  Grammar-Land.    34  P  8:24 15 

*  Buckham  (Henry  B.)    Handbook  for  Young  TeacJie-rs.    15,  23,  27  C 

16:152 75 

Buffalo  Examination  Questions.  46  L  16:110.  1st  Year :  2d  and  3d 

Years,  each 50 

Bugbee  (A.  G.)  Exercises  in  English  Syntax.  36  L  16:85 35 

Key  to  the  same.  L  16:36 35 

Bulletin  Spelling  Pads,  70  pages.  Each 15 

—  Book- Keeping  Blanks.    Press-board,  7x8J4  pp.  28.    Each 15 

Composition  Book.    M  8:44 15 

Class  Register.    Press-board  cover,  Three  Sizes,  (a)  6x7,  for  terms 

of  twenty  weeks ;  or  (b)  5x7,  for  terms  of  fourteen  weeks.    47 

Pp.  48 25 

(c)  Like  (b)  but  with  one-half  more  (72)  pages 35 

Pencil  Holder,  numbered  for  60  pupils.    48 2  00 

Ink-  Well  Filler,  holding  one  quart.    48 1  25 

Number  Fan.    30,  11x15  inches 1  00 

Burnham  (W.  P.)    Duties  of  Outposts  U.  S.  Army.    33024:171 50 

Burritt  (J.  L.)    Penmanship  in  Public  Schools.    P  12:62,  and  chart 60 

Butler  (Nicholas  Murray).    The  Place  of  Comenius.    18,  24  P  16:20 15 

CABANO  (Lopes  de).    Method  of  Learning  Portugese.    38  C  12:175 1  25 

Key 25 

Caesar's  Conspiracy  of  the  Helvetians.     45  P  16:20 10 

Canfield  James  H.)    Rural  Higher  Education.    24,  25  P  8;24 15 

(2) 


*  Carlisle  (J.  S.)    Tico  Great  Teachers,  Ascham  and  Arnold.    15,  17  C 

16 :252 $1  00 

Catalogue  of  Rare  Books  on  Pedagogy.    P  24:58 06 

of  School  Bulletin  Publications.    P  16:100. 06 

Cheney  (F. )    A  Globe  Manual  for  Schools.    40  P  16:95 25 

Civil  Service  Question  Book.    46  C  16:282 1  50 

Clark  (Noah  T. )     Chart  of  U.  S.  History.  42  P  8^x12.  Each  6c. ;  per  d( >z.      50 

Code  of  Public  Instruction,  New  York,  1888.    43  L  8:1075,  net 2  50 

Colored  Crayon,  for  Blackboard,  per  box  of  one  dozen,  nine  colors. . .      25 

Collins  (Henry.)    The  International  Dale  Line.    30,  33,  40  P  16:15 15 

Comenius  (John  Amos).     Orbis  Pictus.    18  C  8:232 3  00 

*  Life  and  Educational  Works,  by  S.  S.  Laurie.    15, 17, 18  C  16:272.. . .  1  00 

Sketch  of,  by  R.  H.  Quick.    17  P  16:25 15 

—  Portrait  of,  P  22x28 1  00 

Comfort  (George  F . )    Modern  Languages  in  Education.    25  P  16:40 25 

Constitution  of  the  State  of  New  York.    P  16:63 10 

Cooper  (Oscar  E.)    Compulsory  Laws  and  their  Enforcement.    24  P  8:6..      15 

Craig  (A.  R.)    The  Philosophy  of  Training.    C  12:377 2  00 

Crain  ( J.  H.)    70  Review  Lessons  in  Geography.    40  P  16:60 25 

Cube  Root  Blocks,  carried  to  3  places.    30 1  00 

Cyclopaedia  of  Education.    14  C  8:562 3  75 

DANIELS  (Blanche  R.)    Outlines  of  English  Literature.  38,  45  C  12:102.      50 

Danish  and  Norwegian  Conversation  Book.    38  C  24:128 75 

Davis  (W.  W.)   Suggestions  for  Teaching  Fractions.    30  P  16:43 25 

Fractional  Apparatus,  in  box.   30  (Not  mailable) 4  00 

De  Graff  (E.  V.)    Practical  Phonics.    37  C  16:108 75 

Pocket  Pronunciation  Book.    37M  16:47 15 

*  The  School-Room  Guide.    15,  23,  27,  28  C  16:396 1  50 

Development  Lessons.    C  8:301 1  50 

The  School- Room  Chorus.    29  B  4:147 35 

Calisthenics  and  Disciplinary  Exercises.    33  M  16:39 25 

•De  Guimps (Roger).  Pestalozzi,  his  Aim  and  Work.  15, 17, 19  C  12:331..  1  50 

Denominational  Schools.    Discussion  of  1889.    24  P  8:71 25 

Dickinson  (John  W.)  The  Limits  of  Oral  Teaching.  24,  27,  29  P  16:24..  15 
Diehl  (Anna  Randall-).  A  Practical  Delsarte  Primer.  33,  34  C  16:66 ....  50 
Diplomas,  printed  to  order  from  any  design  furnished.  Specimens  sent. 

41  (a)  Bond  paper,  14x17,  for  25  or  fewer 5  00 

11       "    50 650 

(6)     "  "       16x20,"    25  or  fewer 550 

"       "    50 725 

(c)  Parchment,  15x20,    "      1 350 

Each  additional  copy 75 

Donaldson  (James).    Lectures  on  Education.    17  C  16:185 1  00 

Dudevant  (A.)   French  and  English  Commercial  Correspondence.    39  C 

12:107 50 

Durham  (W.  H.)    Carleton  Island  in  the  Revolution.    15  C  16:128 1  00 

EDUCATION  as  Viewed  by  Thinkers.    21,  24  P  16:47 15 

*  Intellectual,  Moral,  and  Physical,  Herbert  Spencer.  15,21  C  16:331.  1  00 

for  the  People,  in  America,  Europe,  India,  and  Australia.    32  C  8:176.  1  25- 

(3) 


Edwards  (A.  M.)    Graded  Lessons  in  Language.    Nos.  1-6.    36  P  8:St>, 

each  per  dozen ; $1  00 

500  Every  Day  Business  Problems  in  Arithmetic.    500  cards,  I^x3>£, 

with  Key,  28,  30 50 

500  Pertinent  Questions  in  Civics,  with  Answers.    28,  43  P  16:54 15 

-  The  same,  with  Questions  on  250  slips  of  cardboard,  in  box.    28,  43.  50 

—  Historical  Game,  "  Our  Country  ".    100  cards,  2J4x3%.    28,  42 50 

Historical  Cards.    3J4x5J4.    28,  42 

(a)  General  History.    200  cards 1  00 

(ft)  United  States  History,  Part  I.    92cards 50 

(c)  United  States  History,  Part  II.    108  cards 50 

(d)  United  States  History,  Complete.    200  cards 1  00 

—  Outline  and  Topic  Book  in  U.S.  History.    P8:212 50 

Geographical  Game,  "  Our  Country  ".    100  cards,  2^x3%.    28, 42 50 

—  Geographical  Cards.    3^x514.    28,  40 

(a)  Part  I.  Physical  Geography  and  North  America.    100  cards 50 

(V)  Part  II.  The  Rest  of  the  World.    lOOcards 50 

(c)  Complete.    200cards 1  00 

Emerson  (A.  W.)     Composition  and  Criticism.    36  L  16:82 40 

—  (H.  P.)    Latin  in  High  Schools.    25  P  8:9 25 

Essays  on  the  Kindergarten.    19,  27  C  12:175 1  00 

FARNHAM  (Geo.  L.)    The  Sentence  Method  of  Heading.    34  C  16:55. ...  50 

Fitch  (Joshua  G.)    The  Art  of  questioning.    20,  24,  26  P  16:36 15 

—  The  Art  of  Securing  Attention.    20,  24, 26  P  16:43 15 

—  Lectures  on  Teaching,  Reading  Club  Edition.    21  C  12:436 1  25 

Foreign  Languages.    See  pp.  38,  39 

Fo wle  ( Wm.  B .)    The  Teachers'  Institute.    28  C  12:238 1  00 

Franck  (F.)    The  German  Letter-  Writer,  with  the  Forms  of  Polite  Cor- 
respondence, and  English  Explanatory  Notes.    39  P  16:112 40 

*  Franklin  (Benj.)    Autobiography.    15  C  16:241 1  00 

Froebel  (Friedrick).    Autobiography  of.    17, 19  C  12:183 1  50 

GAINES(J.  T.)    Principles  of  Teaching.    21,  25  P  8:63 20 

Geometry  Test  Papers,  by  Wm.  Smith.    Packages  of  100, 8}^xlO.    32...  1  00 

Geddes  (Patrick).    Industrial  Exhibitions.    P  16:57 25 

German  Self -Taught.    39  P  16:87 40 

GiU(John).    School  Management.    27016:276 100 

Godard  (Harlow).    An  Outline  Study  of  U.  S.  History.    42  L  16:146 50 

Goethe  (J.  F.  von).    Egmont,  with  English  Notes.    39  C  16:140 40 

Gore  (J.  Howard).    Manual  of  Parliamentary  Practice.    37  C  16:112 50 

Goulding  (Matilda  P.)  Flores :  A  Botanical  Game.  28  cards,  2%x3^.  42.  50 

Granger  (Oscar).    Metric  Tables  and  Problems.    30  M  16:23 25 

Grant  (James).    Histwy  of  the  Burgh  Schools  of  Scotland.    17,  22  C  8:591.  3  00 

Grasby  (W.  Catton).     Teaching  in  Three  Continents.    22  C  12:344 1  50 

Gray  (Thos.  J.)    Methods  and  Courses  in  Normal  Schools.    24  P  8:19 15 

Griffin  (Ida  L.)     Topical  Geography,  with  Methods.    40  L  12:142 50 

Griffith  (Geo,)    Outline  Blackboard  Maps.    40.    Per  set 8  00 

HAHN  (F.)     The  Child's  German  Book.    39  P  16:87 40 

(4) 


Hailmaim  (W.  N.)    Primary  Kindergarten  Helps.    19,  27  B  8:58 $   75 

The  New  Education.    Vol.  VI  and  last.    19  C  8:146 2  00 

Sketches  from  the  History  of  Education.    17,  25  P  8:39 20 

Hall  (Marcella  W.)     Orthoepy  Made  Easy.    37  C  16:1CO 75 

Hamilton  Declamation  Quarterly.    Vol.   I.    (all  published).    35  C 

16 :337 1  00 

Harlow(W.  B.)    Early  English  Literature.    38016:138 75 

Harris  (W.  T.)    Natural  Science  in  the  Public  Schools.    29,  33  L  16:60. ...  50 

Horace  Mann.    P  16:50  15 

-  The  Theory  of  Education.    21,  24  P  16:54 15 

—  The  Educational  Value  of  Manual  Training.    24,  26  P  8:14 15 

—  Art  Education  The  True  Industrial  Education.    24,  26  P  8:9 15 

University  and  School  Extension.    24  P  8:12 15 

The  General  Government  and  Public  Education.    24  P  8:8 15 

Report  on  Pedagogical  and  Psychological  Observation.    20,  24  P  8:6. . .      15 

Heermans  (Forbes).    Stories  of  the  Far  West.     C  16:260 1  25 

•Helps  to  Self-Culture.    15  C  16:241 1  00 

Hendrick  (Mary  F.)    Questions  in  Literature.    38  B  16:100 35 

(W)     "  The  Table  is  Set."    A  Comedy  for  Schools.    34, 16:30 15 

—  School  History  of  the  Empire  State.    43,  45  C  12:201 75 

Hennig  (Carl  V.)    Anatomical  Manikin.    33  M  8:18 1  00 

Hinckley  (Mary  P.)    Longfellow  Exercise  for  50  Pupils    P  8:12 10 

Hinsdale  (B.  A.)    Pedagogical  Chairs  in  Colleges    24  P  8:11 24 

*  Schools  and  Studies.    15,  21  C  12:362 1  50 

Hoose  (J  ames  H.)    Studies  in  Articulation.    37  C  16:70 50 

—  *  On  the  Province  of  Met/wds  of  Teaching    15,  28  C  16:376 1  00 

—  Pestalozzian  First-  Year  Arithmetic.    19,  30.  31  B  16:217 50 

Pupils' Edition.    B  16:156 35 

Second  Year  Arithmetic.    B  16 :236 50 

Hornstone  Slating,  the  best  crayon  surface  made.    48,  per  gallon —  8  00 

Slated  Paper,  per  square  yard  (if  by  mail,  60  cts.)  48 50 

Hoss(Geo.H.)    Memory  Gems.    34,  38  P  16:40 15 

Hotchkiss  (Viala  P.)    Lessons  in  Object  Drawing.    41  L  4:82 50 

Hughes  (James  L.)    Mistakes  in  Teaching.    26,  27  C  16:135 50 

How  to  Secure  and  Retain  Attention.    20,  26  C  16:98 50 

Huntington  (Rt.  Rev.  F.  D.)     Unconscious  Tuition.    24  P  16:45 15 

Button  (H.  H.)    A  Manual  of  Mensuration.    30,  32  B  16 :168 50 

ITALIAN  and  English  Correspondence.    38  P  12:90 50 

JACKSON  (E.  P.     Class  Record  Cards.    47    90  white  and  10  colored 

card  s 50 

Jacotot  (Joseph).    Sketch  of,  by  R.  II.  Quick.    17  P  16:28 15 

Jewell  (F.  S. )    Grammatical  Diagrams.    36  C  12:207 75 

Johnson's  C hart  of  Astronomy.    On  enamelled  cloth,  40x46  inches —  350 
Juliantl  (Anna  M.)    Brief  Views  of  U.  S.  History.    42  L  16:69 35 

KAKOL.Y  (Akin).     The  Dilemmas  of  Labor  and  Education.    C  12:77...  100 

Kay  (David) .    Education  and  Educators.    21  C  12:490 2  00 

Keller  (C.)    Monthly  Report  Cards.    47  2%x4  inches,    Per  hundred  21..  1  00 

(5) 


Kennedy  (John).     The  Philosophy  of  School  Discipline.    24  P  16:23 $    15 

Must  Greek  Go  ?    25  L  16:66 50 

Kiddle  (Henry)  3,000  Grammar  Questions,  with  Answers  36  C  16:220 1  00 

Kindergarten  Essays.     19,  27  C  12:175 1  00 

Knott  (E.  E.)    The  Ready  Reference  Law  Manual.    43  C  8:381 2  00 

LANE  (Fred  N.)    Elementary  Greek  Education.    17  L  16:85 50 

*  Laurie  (S.  S.)    John  Amos  Comenius    15, 17,  18  C  16:272 1  00 

Lawrence  (E.  C.)    Recreations  in  Ancient  Fields.    C  12:177 1  00 

Lees  (James  T.)     The  Claims  of  Greek.    25  P  8:16 25 

Locke  (John).    Sketchof,  by  R.  H.  Quick.    17P  16:27 15 

Lowrie  (R.  W.)    How  to  obtain  Greatest  Benefit  from  a  Book.    38  P  8:12. .      25 

M'CULLY'S  Perforated  Erasers.    48.    Per  doz 1  00 

*  Mace  (W.  H.)    A  Working  Manual  of  American  History .    15, 42  C  16:297  1  00 

McCosh  (James).    Essays  on  the  Higher  Education.    25  C  8:120 75 

McKay  (John  S.)    100  Experiments  in  Natural  Science.    33  P  16:50 15 

*  Mann  (Horace).    Thoughts  for  a  Young  Man.    15  C  16:241 1  00 

—  Sketch  of,  by  W.  T.  Harris.    16:50 15 

Maps  for  the  Wall.    See  page  41. 

Maps,  Relief  Maps.    Switzerland.    40,  41  11x17^,  $3.50;  23x34,  $10.00. 

Palestine  22x35 10  00 

—  Griffiths  Outline  Blackboard  Maps.    40Perset 800 

Dissected  Maps.    United  States  sawn  into  States 75 

The  Same,  New  York  State  Sawn  into  Counties 75 

Onondaga  County.    Cloth,  4x4J4  feet.    41 10  00 

New  YorkState.    Cloth,  61x76  inches.    41 5  00 

—  Outline  Maps  (6x9)  of  New  York,  40,  43.    Per  pad  of  50 15 

Marble  (A.  P.)    Powers  of  School  Officers.    25,  43  P  16:27 $    15 

Marchetti  (G.)  Method  of  Learning  Italian.    39  C  12:218 1  20 

—  Key    24 25 

Marenholtz-Buelow  (Baroness)  School  Work-shop.    24,  26  P  16:27 15 

Child  and  Child  Nature.  Froebel's  Ed '1  Theories.   19, 20,  27  C  12:207.  1  50 

Maudsley(H.)    Sex  in  Mind  and  Education.    20,24    P  16:42 15 

Maxwell  (W.  H.)  Examinations  as  Tests  for  Promotion.    24  P  8:11 15 

—  The   Text-Books  of   Comenius,  with  cuts  from  the  Orbis  Pictus. 

188:24 25 

Meese  (John  D.)    Facts  in  Literature.    38  P  16:38 15 

Meiklejohn  (J.  M.  D.)     The  New  Education.    19,  24,  26  P  16:35 15 

An  Old  Educational  Reformer.    (Dr.  Andrew  Bell.)    17  C  16:182 1  00 

Meissner  (M.)    Method  of  Learning  German.    38,  39  C  12:238 1  25 

Michael  (O.  S.)    Algebra  for  Beginners.    32  C  16:120 75 

Mill  (John  Stuart)    Inaugural  Address  at  St.  Andreivs.    21,  25  P  8:31. . .      25 

Miller  (Warner).    Education  as  a  Dep't  of  Government.    25  P  8:12 15 

Mills  (C.  D.  B.)     The  Tree  of  Mythology.    C  8:281 300 

Milne  (James  M.)    Teachers' Institutes,  Past  and  Present    17  P  8:22 25 

Milton  (John).    A  Small  Tractate  of  Education    21,  24  P  16:26 15 

—  Sketch  of,  by  R.  H.  Quick.    17  P  16:55 15 

Minutes  of  the  International  Congress  of  Education.  1889.    14  C  12:4  vols.  5  00 

(6) 


Missouri,  Civil  Government  of,  Northam.    43  C  16 :151 $    75 

Monroe  (Will  S.)    Labors  of  Henry  Barnard.    17,  L  16:35 50 

Mo rey  (Amelia).  Outline  of  Work  in  Elementary  Language.    36016:139.      50 
Mottoes  for  the  School  Boom.    7x14.    47,    Per  set 100 

NEW  YORK  question  Book,  with  all  the  Questions  of  the  Uniform, 
State,  Cornell,  Scholarship,  and  Normal  Entrance  Examinations, 
to  March  81, 1890,  with  Answers.  43,  44,  46.  8:461.  P  $1.00 ;  C. ...  2  00 

—  The  same,  Supplement  No.  1,  to  June,  1891.    M  8:63 25 

The  same,  Supplement  No.  2,  to  June,  1892.    M8:139 25 

—  The  same,  Supplements  Nos.  1  and  2,  in  one  volume.    C  8:202 1  00 

*  The  same,  Uniform  only,  Supplement  No.  5, 1894-5.    16:203 1  00 

*  The  same,  Supplement  No.  6, 1895-6.    16:212 100 

—  *  The  same,  Questions  in  Drawing  :  Aug.,  1892,  to  Aug.,  1896.  16:221.  1  00 
The  same,  Questions  in  Arithmetic.    P  16:54 25 

—  The  same,  Questions  in  Algebra,  Book-keeping,  Physics.    P  16:56..  25 

—  The  same,  Questions  in  Am.  History,  Civil  Gov't,  and  School  Law, 

P  16:112 25 

The  same,  Questions  in  Methods  and  School  Economy.    M  16:48 —      25 

The  same,  Questions  in  Geography.    M  16:44 25 

—  The  same,  Questions  in  Physiology.    M  16:48 25 

*  State  Examination  Questions  to  1894.    15,  46  C  16:403 1  00 

—  The  same,  for  1895.    P  16  £7 10 

The  same,  for  1896.    P  16:29 10 

TJie  Questions  in  Book-keeping,  with  Answers.    46  P  16:31 10 

Civil  Government  of  the  State  of,  Northam.    43  C  16:231 75 

Code  of  Public  Instruction.    Latest  edition.    43  L  8:1075 2  50 

—  History  of  the  Empire  State,  Hendrick.    43,  45  C  12:203 75 

—  Natural  History,  and  Cabinet  Reports.    Write  for  information. 
Northam  (Henry  C.)    Civil  Government.     43  C  16:231 75 

—  The  same  for  Missouri.    43  C  16:151 75 

—  Fixing  the  Facts  of  American  History.    42  C  16:300 75 

Conversational  Lessons  Leading  to  Geography.    P  16:39 25 

Northend  (Chas.)    Memory  Selections.    Three  Series.    34,38.    Each 25 

—  *T7ie  Teacher  and  Parent.    15016:350 1  00 

Northrop  (B.  G.)    High  Schools.    25  P  8:26 25 

Northrup  (A.  J.)    Camps  and  Tramps  in  the  Adirondacks.    15  C  16:302.  1  25 

Number  .Lessons.    On  card-board,  7x11,  after  the  Grube  Method 10 

OSWALD  (John).    Dictionary  of  English  Etymology.    36  C  16:806 2  00 

*  PAGE  (David  P.)    The  Theory  aud  Practice  of  Teaching.    15,  23, 27, 28 

C  16:448 1  00 

Pardon  (Emma  L.)     Oral  Instruction  in  Geography.    40  P  16:29 15 

Parsons  (James  Russell,  Jr.)    Prussian  Schools.    22  C  8:91 1  00 

French  Schools  through  American  Eyes.    22  C  8:130 1  00 

*  Patrick  (J.  N.)    Elements  of  Pedagogics.    15,  21  C  16:224. 1  00 

Pedagogical  Pebbles.    16:96 50 

Pattee(F.  L.)    Literature  in  Public  Schools.    38  P  8:48 20 

Payne  (Joseph).    Lectures  on  the  Art  of  Education.    21  C  16:281 1  00 

CO 


Payne  (W.  H.)    A  Short  History  of  Education.    17  C  16:105 $    50 

Pedagogical  Primers.    Each 25 

1.  School  Management.    :27  M  1645.        2.  Letter- Writing.    M  16:37. 
Perez  (B.)     The  First  Three  Years  of  Childhood.    19,  20,  27  C  16:295 1  50 

Tiedemann's  Record  of  Infant  Life.    20,  24  M  16 :46 15 

Periodicals.    The  School  Bulletin.    13  Monthly,  16  pp.,  10x14.  Per  year.  1  00 

—  Bound  Vols.  I-XXII.    C  200  pp.,  each 2  00 

TJie  Hamilton  Declamation  Quarterly.    Bound  volume  I.  35  C  16:337.  1  00 

The  School  Room.    Bound  volumes  I-V.    Each 1  50 

The  New  Education.    Bound  volume  VI.  19  C  8:146 2  00 

*  Pestalozzi  (J.  H.)    His  Aim  and  Work,  De  Guimps.  15, 17, 19  C  16:296.  1  50 

—  Sketch  of,  by  R.  H.  Quick.    17,  19  P  16:40 15 

How  Gertrude  Teaches  her  Children.    19  C  12:320 1  50 

Pest.alozzian  Arithmetics.    19,  30,  31  B  1st  Year,  pp.  217.    2d  Year, 

16:236.  Each 50 

Lessons  on  Number  and  Form,  by  C.  Reiner.  19,  44,  45  C  16:439 3  00 

Pick  (Dr.  E.)  Dr.  Pick's  French  Method.  39  L  16:118 1  00 

Memory,  and  the  Rational  Means  of  Improving  it.  20,  39  C  16:193 1  00 

Pitcher  (James).  Outlines  of  Surveying  and  Navigation.  C  16:121, 50 

Plumb  (Chas.  G.)  Map  Drawing  of  New  York.  M  8:16 25 

Pooler  (Chas.  T.)  Chart  of  Civil  Government.  43  P,  12x18,  per  hun 5  00 

Hints  on  Teaching  Orthoepy.  37  P  16:15 10 

Preece  (Mrs.  Louise).  Physical  Culture.  Illustrated.  33  C  4:292 2  00 

Prentice  (Mrs.  J.  B.)  Review  Problems  in  Arithmetic.  30,  45,  46  P  16:93.  20 

Key  to  the  above.  P  16:20 25 

Review  Questions  in  Geography.  40,  45  P  16:48 15 

Primers  of  School  Management  and  of  Letter-  Writing.  27  M  pp.  45,  37. 

Each 25 

*  QUICK  (R.  H.)    Essays  on  Educational  Reformers.    17  C  12:331 1  00 

BED  WAY  (J .  W.)    School  Geography  of  Pennsylvania.    40  L  16 :98 35 

Regents'  Examination  Paper.    45.    Per  1,000  half-sheets  in  box 3  00 

Examination  Pens.    45.  J4  gross,  25  cts.    Per  gross,  post-paid...  1  00 

Fourth  Year  Latin.     Ccesar's  Conspiracy.    45  P  16:20 10 

Selections  in  American,  German,  and  French  Literature.    38,  39,  45 

L  16:56.    25  cents.    With  music,  35  cts,    Each  separate,  P 10 

Examination  Record.    45.    For  432  scholars,  $3.00  ;  864  scholars.  6  00 

Examination  Syllabus,  in  U.  S.  History.    45.  P  per  dozen 50 

Questions  to  June,  1882.    (No  later  are  printed.)    Eleven  editions. 

1.  Complete  with  Key     44,45,47016:476 200 

2    Complete.  Same  as  above,  but  without  the  answers.    Pp.  333. . .  1  00 

3.  Arithmetic.    The  1,293  questions  in  Arithmetic.    30  M  16:93 25 

4.  Key  to  Arithmetic.    Answers  to  the  above.    M  16:20 25 

5.  Geography.    The  1,987  questions  in  Geography.    M  16:70 25 

6.  Key  to  Geography.    Answers  to  the  above.    M  16:36 25 

7.  Grammar.    The  2,976  questions  in  Grammar.    M  16:109 25 

8.  Grammar  and  Key.    36  C  16:198 1  00 

9.  Key  to  Grammar.    M  16:88 25 

10.  Spelling.    The  4,800  words  given  in  Spelling.    M  16:61 25 


*  Rein  (W.)     Outlines  of  Pedagogics.    15,  21  C  16:232 $1  25 

Reiner  (C.)    Lessons  on  Number  and  Form  as  taught  in  a  Pestalozzia 

School  at  Cheam,  Surrey.  19,44,45016:439 300 

Reinhart(A.)  Neglect  of  Bodily  Developement  of  American  Youth.  P8:15.  25 

Richardson  (B.  W.)  Learning  and  Health.  24  P  16:39 15 

Robinson  (A.  H .)  Numeral  School  Register.  M  2:16 25 

Rousseau  (J.  J.)  Sketch  of,  by  R.  H.  Quick.  17  P  16:30 15 

Rooper  (T.  G.)  Apperception,  or  "  A  Pot  of  Green  feathers  ".  20,  25  L 

16:59... 50 

—  Object  Teaching,  or  Words  and  Things.  19,  41  L  16:56 50 

Russian  Conversation  Book.    38  C  24:130 75 

Ryan  (G.  W.)    School  Record.    47  P.   56  blanks  on  each  of  14  sheets. ...  50 

SABm  (Henry).    "  Organization  "  vs.  Individuality.    24  P  8:9 25 

Salvo  (D.)    Method  of  Learning  Spanish.    39012:216 120 

Key.     P  12:33 25 

Spanish  and  English  Idiomatic  Phrases.    39  C  24:160 75 

Spanish  and  English  Commercial  Correspondence.    39  P  12:109 50 

Sanford(H.  R.)     The  Word  Method  in  Number.    30,32.    6x3,  45  cards.  50 

—  The  Limited  Speller.    L  16:104 25 

Sayce  (A.  H.)    An  Assyrian  Grammar.    38  C  12:204 3  00 

Schepmoes  (A.  E.)    Rise  of  the  New  York  School  System.    L  16:32 35 

Schiller  (J.  C.  F.  von).    Marie  Stuart.    39  B  16;  163 40 

Die  Jungfrau  von  Orleans.    39  B  16:157 40 

WilhelmTell.    39B16:165 40 

Der  Neffe  als  Onkel.    39  B  16:72 40 

School  Room  Classics.    24  P  16:40,  each ,. .  15 


IX.  Maudsley's  Sex  in  Mind  and  in 

Education. 

X.  Education  as  Viewed  by  Think- 
ers. 

XI.  Harris's  Horace  Mann. 
XII.  Dickinson's  Oral  Teaching. 

XIII.  Tiedemann's  Record  of  Infant 

Life. 

XIV.  Butler's  Place  of  Comenius  in 

Education. 
XV.  Harris's  Theory  of  Education. 


I.  Huntington's  Unconscious  Tui- 
tion. 
II.  Fitch's  Art  of  Questioning. 

III.  Kennedy's  Philosophy  of  School 

Discipline, 

IV.  Fitch's  Art  of  Securing  Atten- 

tion. 
V.  Richardson's     Learning    and 

Health. 

VI.  Meiklejohn's  New  Education. 
VII.  Milton's  Tractate  of  Education. 
VIII.  Von   Buelow's    School   Work- 
shop. 

Schreber  (D.  G.  R.)    Home  Exercise  for  Health  and  Cure.    33  C  16:91 50 

Seiderstruck  (J.  H.  P.)    Easy  methods  of  Learning  Latin.    38  C  12:144.  1  25 

Shaw's  Scholar's  Register.    47  P  12:16.    Per  doz 50 

Sheely  (Aaron).    Anecdotes  and  Humors  of  School  Life.    C  12:350 1  50 

Sherrill  (J.  E.)     The  Normal  Question  Book.    C  12:405 1  50 

Sherriff  (Emily)     The  Kindergarten  System.    19,  27  C  12:200. 1  00 

Skinner  (Chas.  E.)     The  Arbor  Dag  Manual.    34  C  8:475  2  50 

The  New  York  Question  Book.    C  8:461.    See  New  York 2  00 

Smith  (C.  F.)    Honorary  Degrees  in  American  Colleges.    25  P  8:9 15 

(Edward).    History  of  the  Schools  of  Syracuse.    17,  22  C  8:347 3  00 

—  (Geo.  M.)    Vocabulary  to  Ccesar's  Gallic  War.    45  C  16 :67 50 

(Win.)    Geometry  Test  Papers    32  P  Package  of  100,  8^x10 1  00 


Song  Budget,  The.    234th  Thousand.    29Ps4:76 8  15 

—  Century,  The.    97th  Thousand.    39  P  s  4:87 15 

Patriot,  The.    119th  Thousand.    29Ps4:80 15 

—  Budget  Music  Series,  including  all  the  above.    29  C  pp.  243 BO 

—  Gymnast,  The.    29.  33016:160 50 

Songs  from  Arbor  Day  Manual.    29,  34  M  8:60 26 

of  the  Lyceum  League.    29  L  4:48 20 

Sornberger  (S.  J.)    Normal  Language  Lessons,    36  B  16:75. '..  50 

Southwick  (A.  P.)    Twenty  Dime   Question  Books,  with  f ufl  answers, 

notes,  queries,  etc.    44,  46  P  16:40.    Each 10 


Elementary  Series 

3.  Physiology.    33 

4.  Theory  and  Practice.    27 

6.  U.  S.  History  and  Civil  Gov't.  42 
10.  Algebra. 

13.  American  Literature.    38 

14.  Grammar.    36 

15.  Orthography  &  Etymology.  36,37 

18.  Arithmetic.    30 

19.  Physical  and  Political  Geog.    40 

20.  Reading  and  Punctuation.    34 
The  10  in  one  book,  C  $1.00 


Advanced  Series. 

1.  Physics.    33 

2.  General  Literature.   38 
5.  General  History.    43 

7.  Astronomy.    33 

8.  Mythology. 

9.  Rhetoric.    36 

11.  Botany.    33 

12.  ZoOlogy.    33 

16.  Chemistry.    33 

17.  Geology.    33 

The  10  in  one  book,  C  $1.00 


Extra  numbers,  edited  by  C.  W.  Bardeen,  21.    Temperance  Physi-     ' 

ology,  .33,  46 ;  22.  Book-Keeping,  46 ;   23.  Letter-Writing,  36,  46. 

Each 10 

Qidzzism.    Quirks  and  Quibbles  from  Queer  Quarters.    44  P  16:25.      25 

A  Quiz  Book  of  Theory  and  Practice.    27,  44.    C  12:220 1  00 

Spanish  and  English  Correspondence.    39  P  12:109 50 

*  Spencer  (Herbert).    Education.    15,21,016:331 100 

*  Standard  Teachers'  Library.    Includes  all  those  starred.    15  P. 

Each 50 

Stanton  (Th.)     The  Woman  Question  in  Europe.    C  8:496 3  50 

State  Education  for  the  People.    22  C  8:176 1  25 

Steven,  (Wm.)    History  of  the  Edinburgh  High  School.    17,  22  C  16:590.. .  2  00 

Stilwell  (Lament).    Practical  Question  Book.    46  C  12:400 1  50 

Stone  (Isaac).    The  Teacher's  Examiner    12:214 7i 

Stowell  (T.  B.)    Syllabus  of  Lectures  on  Physiology.    33  B  8:133 1  01 

Straight  (H.  H.)    Aspects  of  Industrial  Education.    25,  26  P  8:12 15 

Swett(John).    Manual  of  Elocution.    34012:300 150 

*  TATE  (Thos.)     The  Philosophy  of  Education.    15,  21  C  16:400 1  50 

Taylor  (H.  F.)    Union  School  Record  Cards 5x8  inches.    Per  hundred..  2  00 

*  Teacher's  Mentor,  The.    150  16:274 1  00 

Thimm  (F.">    Manual\of  Conversation,  in  Four  Languages.    38  P  16:226.      60 

Thomas  (Flavel  S.)    University  Degrees.    25  P  16:40 ; 15 

Thousand  Questions  in  U.  S.  History.    42  C  16:200 1  00 

Thoughts  from  Earnest  Women.    38  16:36 15 

Thring  (Edward).    Addresses,  with  Portrait.    O  16:203 1  00 

Tiedemann  (D.)    Eecord  of  Infant  Life.    20,  24  P  16:46 50 

Tillinghast(Wm.)     The  Diadem  of  School  Songs.    29  B  s  4:160 15 

(10) 


UNDERWOOD  (L.  M.)    Systematic  Plant  Record.    33  M  4:52 &   30 

Uniform  Examination  Paper,  for  Commissioners.     500  sheets 2  50 

Examination  Questions.    See  New  York. 

VAN  WIE  (C.  B.)    Outlines  in  U.  S.  History.    42  P  16:40  and  map 15 

Development  Helps.    27  L  16:100 50 

Methods  in  Common  Branches.    27016:197 75 

•WEAVER  (E.  W. )    Pictures  in  Language  Work,    36  P  8 :27 50 

Welch  (Emma).    Intermediate  Arithmetic  Problems. '  30  C  16:172 75 

—  Key  to  above,  C  16:30 50 

Wells  (C.  R.)    Natural  movement  Series  of  Writing  Books.    35  Nos.  1,  2, 

per  dozen  84  cts.    Nos.  3-6,  per  dozen 96 

Manual  of  the  Movement  Method  in  Writing.    35  P  4:44.    Ill 25 

A  Lesson  on  Arm  Movement  in  Writing.    P  8:32 25 

(W.H.)    The  Graded  School.    C  12:200 100 

Wheatley  (Wm.  A.)    German  Declensions  Made  Easy.    39  P  16:28 15 

Wilkin(Eva).    Map  Drawing  Book  of  the  Continents.    40  B  4:48 75 

—  Map  Drawing  Book  of  the  United  States.    40  B  4:37 75 

Descriptive  Geography  taught  by  means  of  Map  Drawing.    Teacher's 

Edition.    40  B  4:129,  with  49  Maps 1  50 

^Williams  (Geo.  A.)    Topics  in  American  History.    42    C  16:180 1  00 

(Henry  G.)    Outlines  of  Psychology.    20  C  16:151 75 

(John).    Topical  Lexicon.    A  Dictionary  of  Synonyms.    36012:384.125 

—  (S.  G.)    History  of  Modern  Education.    16  C  16:395 1  50 

Wilson  ( J.  D. )    English  Grammar  Made  Practical.    C  16:112 75 

—  Elementary  English.    36  L  16:67 35 

Wood  (H.  A.)    Short  Cuts  in  Arithmetic.    30  C  16:149 75 

YAWGER  (Rose  N.)    How  to  Celebrate  Arbor  Day.    P  16:14 15 

—  The  Indian  and  the  Pioneer.    15  C  8:335. .  $3.00 ;  or  in  Two  Volumes,  3  50 
Young  (W.  T.)    The  Art  of  Putting  questions.    P  16:65 15 


OF  THR 

UNIVERSITY 


(11) 


UNIVERSITY  OF  CALIFORNIA  LIBRARY 


TJ 


JOAT1ONS. 


The  Word  Method  in  Number, 


These  cards  need  only  to  be- 
at once,  as  the  principle  is  already  fit- 
numbers  are  all  printed  in  type  like 
pnrtance  of  using  script  figures  for  this 
mated.     '  ^^ 

The  same  figures  are  reversed  if?  upon  the  opposite  J 
so  that  as  the  teacher  lifts  the  ^J  card  he  knows  the , 
ures  on  the  other  side. 

As  soon  as  the  pupils  com-  j^r  m  e  n  c  e  reading, 
lessons  in  number,  and  the  or  first  lesson  si  ionic! 


order  to  be  \ntro-AF 
milkii1 

that  liere  shown,  o     T 
se  cannot  be 


side  of  the  card 
sum  of 


Equal 


gle  figures.    In  this  so  much  gf  practice  should 
pil  when  adding  will  learn  ^^to  look  upon  the 
"  13,"  not  as  "  4  and  9  are  ^13,"  just 
as  we  learn  to  look  up- 
on cat  as  an  entire  word 
—  v  .  t    as   c-a-t^  cat.*-  ^qu;n 

subtraction,  until  combinations  of  two  fig- 
nations  of  letters  in  words. 

At  first  add  familiar  objects,  passing 
bers;  write  the  simplest  combinations  on 
the  cards,  and  write  the  answer  in  the 
times  that  the  method  of  writing  num- 
addition  may  be  learned.    Then  use 
cards  for  drill,  adding  new  cards 
from  time  to  time,  as  new  combina- 
veloped.     Do  not  introduce  new 

At  every  exercise,  review  all 
answers  should  be  given  imme- 
cards.    Use  the  cards  selected 
laneously,  so  that  no  answer 
ing.    Pursue  the  same  plan 
In  subtraction  when  the 
readily  add  ten  to  the  min- 
the  usual  manner.  ^ 

Success  will  be  cer-  Betam  if  new  combina- 
duced  only  after  those  al-  H  ready  presented 
learned.    Reviews  should  vk  be  constant. 

From  scores  of  testi- 
we  select  the  following: 


,  they  shoul« 
be  in  combin 
be  given  that  the  pu- 
r  combination  \  ;.s  itself 


_  readiness  should  fo:  low  in 
ures  are  as  familiar  as  combl- 


afterward.--  to  abstract  num- 
the  blackboard,  as  they  are  on 
proper  place.    Repeat  this  a  few 
bers  for 

tions  are  de- 
cards  too  rapid/,;/. 
cards  previously 
lately  on  present-  ^f  ing  the 
foraparticularexercise^^  miscel- 
can  be  guessed  from  the  ^^^pr 
in  subtraction  and  mulipli- 
smaller  number  is  above,^^^pup 
uend,  and  give  the  re- ^flV  mainder    in 

riions  are  int.ro- 
are  thoroughly 

monials'    received 


"  Will  you  send  me  one-half  dozen  cases  of 
Cards?     I  have  many ^ inquiries  for  them, 
have  been  lavish  in  their  praise  of  our  work 
these  sets  are  given  away  to  try  the  card 
teen  packages  of  the  cards  I  have  order- 
our  class  drills  more,  send  Prof.  San 
him  more  than  he  advertises."— S.  Q. 
Fulton,  N.  Y..  May  2, 1889,    "  During 
Normal  we  used  Sanford's  Number 
primary  and  intermediate  depart- 
lent  for  quick  work. 
Please  send  me  three  sets 
for  our  primary  and  prep-irv 
has  once  used  them  cannot 
Ph.D.,  headmaster  Rutgers 
have  frequently  advised 
because  I  know  from  my 


Sanford's    Number 
Some   of     our   visitors 
with  the  cards.    Two  of 
work.     This  makes  four- 
ed.    After  a  few  days, when 
ford  down  and  we  will  show 
Clapp,  principal  Union  School, 
several  yeai's  at  the  Potsdam 
Cards  with  great  success  in  our 
ments.     We  found  them   excel- 


-epartments  here.  A  teacher  who 
afford  to  be  without  them.  "—£.//.  Cook, 
College  grammar  school,  Jan.  31, 1890.    "I 
,  teachers  to  buy  Sanford's  Number  Cards, 
_   own  experience  that  they  are  very  valuable 

in"  aidfng'the  teacher  to'fix  in  the  pupils'  memory  the  results  of  the  element- 
ary processes  with  numbers.  "—>Fw.  J.  Milne,  LL.D.,  Ph.D.,  president  New 
York  State  Teachers'  College,  Feb.  5, 1890. 

Sent  post-paid  in  neat  box,  with  directions,  for  50  cts. 

C.  W.  BARDEEN,  Publisher,  Syracuse,  N.  Y. 


